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Actions Taken by Texas School Districts to Prevent Fraud (open access)

Actions Taken by Texas School Districts to Prevent Fraud

This research is a descriptive analysis answering the question, what measures are currently taken by the leadership―boards of trustees and superintendents of schools―of Texas school districts to prevent embezzlement? The research perspective utilized was quantitative with a descriptive, cross-sectional design. Data collection was accomplished through a survey with questions constructed from the most commonly recommended strategies discovered through the review of literature. The survey was distributed to the 1031 superintendents of school districts in Texas via email. The response rate was 33% or 339 returned surveys. The data set created concentrates on the four most common preventive measures: policy and procedure, management, auditing, and ethics. These measures are considered as they function to interrupt the principles of the fraud triangle. Comparisons were completed regarding region, district size, superintendent tenure and superintendent experience. Policy adoption was found to be extremely widespread. Procedures written to fully implement policy were less prevalent. Review of management practices found problems concerning credit cards, personnel evaluations, and password access to multiple computer finance recordkeeping systems concentrated in one employee. External auditing programs were universal due to statutory mandate but internal auditors and internal audit committees were few. Ethics training for business office personnel existed but with …
Date: May 2011
Creator: Taylor, Gordon Douglas
Object Type: Thesis or Dissertation
System: The UNT Digital Library

Activities and Experiences of Academic Librarians Embedded in Online Courses

Presentation for the 2010 Qualitative and Quantitative Methods in Libraries (QQML) Conference. This presentation discusses activities and experiences of academic librarians embedded in online courses and common practices to assess various experiences.
Date: May 2010
Creator: Hoffman, Starr
Object Type: Presentation
System: The UNT Digital Library
The Adagio of Mahler's Ninth Symphony: A Schenkerian Analysis and Examination of the Farewell Story (open access)

The Adagio of Mahler's Ninth Symphony: A Schenkerian Analysis and Examination of the Farewell Story

Mahler's Ninth Symphony, since its premier in 1912, has sparked much debate about its programmatic meaning. This thesis provides an in-depth analysis of the Adagio and an examination of the controversy of the farewell story. In the process of the analysis I have compared my findings to some of the important authors in Mahler's field such as Vera Micznik, Henry-Louis de La Grange, and Christopher Orlo Lewis. Some of the conclusions are that a closer investigation of the music is necessary and that the programmatic reading of the farewell story can be appropriate.
Date: May 2011
Creator: Patterson, Jason, 1982-
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adapting on the Plains: the United States Army's Evolution of Mobile Warfare in Texas, 1848-1859 (open access)

Adapting on the Plains: the United States Army's Evolution of Mobile Warfare in Texas, 1848-1859

The Army, despite having been vexed for a century on how to effectively fight the Plains Indians, ultimately defeated them only a decade after the Civil War. This thesis will bring to the forefront those individuals who adapted fighting techniques and ultimately achieved victories on the Texas frontier before the Civil War. The majority of these victories came as a result of mounted warfare under the direction of lower ranking officers in control of smaller forces. The tactic of fighting Indians from horseback was shown to be effective by the Rangers and later emulated by the Army.
Date: May 2013
Creator: Buchy, Mark B.
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adaptive Advantages of Carotenoid Pigments in Alpine and Subalpine Copepod Responses to Polycyclic Aromatic Hydrocarbon Induced Phototoxicity (open access)

Adaptive Advantages of Carotenoid Pigments in Alpine and Subalpine Copepod Responses to Polycyclic Aromatic Hydrocarbon Induced Phototoxicity

Alpine zooplankton are exposed to a variety of stressors in their natural environment including ultraviolet radiation. Physiological coping mechanisms such as the accumulation of photoprotective compounds provide these zooplankton protection from many of these stressors. Elevated levels of carotenoid compounds such as astaxanthin have been shown to help zooplankton survive longer when exposed to ultraviolet radiation presumably due to the strong antioxidant properties of carotenoid compounds. This antioxidant capacity is important because it may ameliorate natural and anthropogenic stressor-induced oxidative stress. While previous researchers have shown carotenoid compounds impart increased resistance to ultraviolet radiation in populations of zooplankton, little work has focused on the toxicological implications of PAH induced phototoxicity on zooplankton containing high levels of carotenoid compounds. This thesis discusses research studying the role that carotenoid compounds play in reducing PAH induced phototoxicity. By sampling different lakes at elevations ranging from 9,500' to 12,700' in the front range of the Colorado Rocky Mountains, copepod populations containing different levels of carotenoid compounds were obtained. These populations were then challenged with fluoranthene and ultraviolet radiation. Results discussed include differences in survival and levels of lipid peroxidation among populations exhibiting different levels of carotenoid compounds, and the toxicological and ecological implications of …
Date: May 2010
Creator: Kovach, Matthew James
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Addressing Social Elements of Wildfire: Risk, Response, and Recovery in Highland Village, TX (open access)

Addressing Social Elements of Wildfire: Risk, Response, and Recovery in Highland Village, TX

Representatives of the City of Highland Village expressed concern over the risk of wildfires for their community. Anthropology provides many tools for and examples of disaster assessment of preparedness, response, recovery, and mitigation. These tools combined with Geographic Information Systems (GIS) can provide a holistic, cultural ecological look at how such a disaster may take place in the city. The project's methods included a detailed survey of preparedness steps which was analyzed using SPSS and also imported into ArcGIS for spatial analysis, and semi-formal, in-depth interviews with residents of the community regarding preparedness, response, and recovery. Residents fell into a middle category of preparedness, with the majority of participants considering or implementing a few recommended preparedness steps. Interview participants expressed respect for and trust of the city and first-responders, as well as a willingness to volunteer their help during response and recovery stages. Finally the American Community Survey showed that resident socioeconomic vulnerability was considerably low, and no action needed to be taken to advocate for at-risk individuals. Overall, the City of Highland Village showed a high resiliency to disaster. A wildfire likely will not have a major impact on the community as a whole, though the city may reduce …
Date: May 2016
Creator: MacKinnon, Jessica
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adequacy and Equity: How the Texas Supreme Court's Perceptions Have Changed Over the Past 50 Years (open access)

Adequacy and Equity: How the Texas Supreme Court's Perceptions Have Changed Over the Past 50 Years

The purpose of this study identifies state court cases involving public school finance specifically related to adequacy and equity in funding. Results address how state court cases have challenged the constitutionality of school finance in the United States, including Texas, over the last 50 years. The study further shows how the decisions from previous cases have influenced the Supreme Court of Texas decision in the Texas Taxpayer & Student Fairness litigation.
Date: May 2017
Creator: Ford, Daniel William
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adhesion and Surface Energy Profiles of Large-area Atomic Layers of Two-dimensional MoS2 on Rigid Substrates by Facile Methods (open access)

Adhesion and Surface Energy Profiles of Large-area Atomic Layers of Two-dimensional MoS2 on Rigid Substrates by Facile Methods

Two-dimensional (2D) transition metal dichalcogenides (TMDs) show great potential for the future electronics, optoelectronics and energy applications. But, the studies unveiling their interactions with the host substrates are sparse and limits their practical use for real device applications. We report the facile nano-scratch method to determine the adhesion energy of the wafer scale MoS2 atomic layers attached to the SiO2/Si and sapphire substrates. The practical adhesion energy of monolayer MoS2 on the SiO2/Si substrate is 7.78 J/m2. The practical adhesion energy was found to be an increasing function of the MoS2 thickness. Unlike SiO2/Si substrates, MoS2 films grown on the sapphire possess higher bonding energy, which is attributed to the defect-free growth and less number of grain boundaries, as well as less stress and strain stored at the interface owing to the similarity of Thermal Expansion Coefficient (TEC) between MoS2 films and sapphire substrate. Furthermore, we calculated the surface free energy of 2D MoS2 by the facile contact angle measurements and Neumann model fitting. A surface free energy ~85.3 mJ/m2 in few layers thick MoS2 manifests the hydrophilic nature of 2D MoS2. The high surface energy of MoS2 helps explain the good bonding strength at MoS2/substrate interface. This simple adhesion …
Date: May 2016
Creator: Wu, Min
Object Type: Thesis or Dissertation
System: The UNT Digital Library
The Adoption, Management, and Performance of Local Government Investment Pools: A Comparative Analysis of State Practices (open access)

The Adoption, Management, and Performance of Local Government Investment Pools: A Comparative Analysis of State Practices

This dissertation examines the factors influencing a state’s decision to adopt a local government investment pool (LGIP), the institutional arrangements used in managing them, and the effect of the institutional types on LGIP performance. The dissertation extends the policy adoption theory with insights from investment theory to demonstrate that management credibility influences the likelihood of a state’s LGIP adoption. The study finds that the quality of financial management, the quality of professional leadership, proximate state neighbors who have previously adopted an LGIP, and economic factors determine a state’s proclivity to policy adoption. The dissertation also describes the institutional arrangements used in managing LGIPs and develops typologies based on their institutional arrangements. The dissertation compares LGIPs depending on the risk aversion of their institutional arrangements. The research extends the risk-return tradeoff in investment theory to LGIP institutional arrangements. The empirical findings show that LGIP institutional arrangement that has greater risk report higher performance. The dissertation also finds that competition in the LGIP market due to multiple vendors, and periods of economic recession account for higher performance because of higher risk-taking behaviors associated with them. This dissertation promotes public funds investment laws that emphasize prudent management of government finances and guides managers …
Date: May 2016
Creator: Nukpezah, Julius Atsu
Object Type: Thesis or Dissertation
System: The UNT Digital Library
The Adoption of Open Source Software in Uganda: a Pragmatist Approach to the Formation of a National Information Policy for a New Technology (open access)

The Adoption of Open Source Software in Uganda: a Pragmatist Approach to the Formation of a National Information Policy for a New Technology

This exploratory research examined an information policy formation process for the adoption of open source software (OSS) in Uganda. Grounded in a pragmatist tradition, this theoretical and empirical study pursued a qualitative research approach with a triangulation of theoretical concepts, data collection, and analysis techniques in an iterative and interactive process. The design provided a powerful context to develop and conduct field activities in Kampala with a purposeful sample of 22 participants, 20 in interviews and 5 in a focus group discussion. The research design enhanced consistency in the evidence from the data, increased robustness in the results, and confidence in the findings. The results highlighted a vibrant ICT sector in Uganda, underlined the multiple stakeholders and their competing interests in the policy, revealed a lack of consensus between the government and OSS promoters on the meaning of OSS, and illuminated the benefits in the OSS model over proprietary software. The stakeholders' conflicting perceptions appear to be too far apart to allow meaningful progress and are derailing the policy. Unless their conflicting perceptions are resolved, the OSS policy will continue stagnating. The study fills critical information gaps in Uganda’s policy formation processes, provides timely and relevant information to holistically understand …
Date: May 2014
Creator: Muwanguzi, Samuel
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adoptive Parenthood: an Exploratory Study of the Influence of Pre-adoption Communication Satisfaction on Post-adoption Family Adjustment and Coping (open access)

Adoptive Parenthood: an Exploratory Study of the Influence of Pre-adoption Communication Satisfaction on Post-adoption Family Adjustment and Coping

There are over a million adopted children in the United States, which makes up over 2% of the population. in spite of the fact that the majority of children are adopted into loving and caring homes, early life trauma puts them at higher risk for developing behavioral and emotional problems than non-adopted children. Due to these issues, many adoptive parents encounter post-adoption stress. This stress is often linked to minimal education regarding short- and long-term challenges associated with adoption. the adoption agency is likely the best group for addressing challenges, yet few researchers have studied adoption agency communication and adoptive parent adjustment. in this study I examined pre-adoption communication satisfaction, post-adoption adjustment (life change and parental adjustment), and coping strategies. Hypothesis 1 questioned the relationship between adoptive parents’ pre-adoption communication satisfaction with their social workers and post-adoption family adjustment; this hypothesis was supported only for problems related to home and work life adjustment. Hypothesis 2 predicted coping strategies would mediate the relationship between communication satisfaction and family adjustment. H2 was not supported for both life change and parental adjustment. Research Questions 1a and 1b inquired about the coping strategy that had an impact on life change and parental adjustment; escape-avoidance …
Date: May 2012
Creator: Seebeck, Lara N.
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adrenergic and Cholinergic Regulation of Cardiovascular Function in Embryonic Neotropic Cormorants (Phalacrocorax basilianus) (open access)

Adrenergic and Cholinergic Regulation of Cardiovascular Function in Embryonic Neotropic Cormorants (Phalacrocorax basilianus)

Investigations of cholinergic and adrenergic tone on heart rate (fH) and mean arterial pressure (Pm) during embryonic development have been conducted on numerous avian species. While these investigations have documented that adrenergic tone, a continuous stimulation, on fH and Pm is vital to embryonic development in the birds studied to date, development of cholinergic tone on fH has been shown to vary even within species. Further, past studies have been bias to focus primarily on precocial species while altricial species remain poorly understood in this context. The goal of this investigation was to investigate the role of cholinergic and adrenergic tone on fH and Pm of an altricial species, the neotropic cormorant (P. brasilianus) to address this bias. The embryonic neotropic cormorant possesses B-and-a adrenergic tone on fH and Pm at 70% and 90% incubation while cholinergic tone on fH occurs at 90% incubation. This pattern of control is similar to that previously reported for several species of precocial birds suggesting the development of tonic cardiovascular regulation may be conserved across avian taxa.
Date: May 2017
Creator: Cummins, James B.
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Adult Attachment, Acculturation, and Help-seeking Attitudes of Latino College Students (open access)

Adult Attachment, Acculturation, and Help-seeking Attitudes of Latino College Students

Based on theoretical reasoning and empirical evidence, the present study examined the unique and shared effects of attachment anxiety, attachment avoidance, and acculturation on attitudes toward seeking professional help among Latino college students. The research participants included 149 bilingual Latino college students from a large, public southwestern university. Results of a multiple regression analysis indicated that attachment avoidance was positively associated with both the recognition of need for psychological help and stigma of seeking professional help. Acculturation to American society was found to be statistically insignificant in predicting help-seeking attitudes in this sample of the population. Findings from exploratory questions suggested that Latino individuals would most likely seek help from parents, close friends, and then professionals. This study suggested that Latino individuals with high attachment avoidance acknowledge the potential benefit of professional help-seeking but distrust the process of approaching others for help. Limitations, implications, and future research directions will be discussed.
Date: May 2015
Creator: Zamudio, Gabriel
Object Type: Thesis or Dissertation
System: The UNT Digital Library

Advancing Open Access Through Digital Services

Presentation for the 2010 Open Access Symposium discussing digital services using Georgia Tech University as a case study.
Date: May 18, 2010
Creator: Walters, Tyler
Object Type: Presentation
System: The UNT Digital Library
The Affect of Mobile Performance Support Devices on Anxiety and Self-Efficacy of Hospital Float Staff (open access)

The Affect of Mobile Performance Support Devices on Anxiety and Self-Efficacy of Hospital Float Staff

Floating describes the act of staff moving from one unit to another based on the needs of the patients in a hospital. Many staff who float to different units express negative feelings, including anxiety and lack in self-efficacy. However, floating is both an economical and efficient method to use staff across the hospital, especially with current staffing shortages in the United States. This study investigated how the use of mobile performance support devices may help reduce anxiety and increase self-efficacy for those staff who float to different units. with access to multiple resources available on the mobile device, Bandura's social learning theory and self-efficacy concept set the framework through modeling, observing, and imitating others in order to reproduce certain behaviors and tasks and believe in one's capability to perform. a quantitative study incorporating the retrospective pretest-posttest design was conducted using the population of float staff, including both nurses and respiratory therapists, from Children's Medical Center of Dallas. Both the State-Trait Anxiety Inventory and General Self-Efficacy Scale, along with a basic demographic tool, were used to explore anxiety and self-efficacy in relation to the usage of mobile performance support devices. Findings can be used to impact the negative feelings of staff …
Date: May 2012
Creator: McKee, Megan Riley
Object Type: Thesis or Dissertation
System: The UNT Digital Library

After the Mandates & Manifestos, What Next? The Denton Declaration at 5

Presentation for the 2017 UNT Open Access Symposium. This presentation provides background on the Denton Declaration, an open data manifesto created in 2012, before introducing panelists for a discussion on the future of open data and open access.
Date: May 19, 2017
Creator: Keralis, Spencer D. C.
Object Type: Presentation
System: The UNT Digital Library
After the Mandates & Manifestos, What Next? The Denton Declaration at 5 captions transcript

After the Mandates & Manifestos, What Next? The Denton Declaration at 5

Video of the panel session "After the Mandates & Manifestos, What Next? The Denton Declaration at 5" at the 2017 Open Access Symposium. This video discusses the origin of the Denton Declaration and current initiatives regarding open data.
Date: May 19, 2017
Creator: Keralis, Spencer D. C.; Gonzales, Melissa; Weimer, Katherine Hart; Rondelli, Michael; Mirza, Rafia & Halbert, Martin
Object Type: Video
System: The UNT Digital Library
After the Planes (open access)

After the Planes

The dissertation consists of a critical preface and a novel. The preface analyzes what it terms “polyvocal” novels, or novels employing multiple points of view, as well as “layered storytelling,” or layers of textuality within novels, such as stories within stories. Specifically, the first part of the preface discusses polyvocality in twenty-first century American novels, while the second part explores layered storytelling in novels responding to World War II or the terrorist attacks of 9/11. The preface analyzes the advantages and difficulties connected to these techniques, as well as their aptitude for reflecting the fractured, disconnected, and subjective nature of the narratives we construct to interpret traumatic experiences. It also acknowledges the necessity—despite its inherent limitations—of using language to engage with this fragmentation and cope with its challenges. The preface uses numerous novels as examples and case studies, and it also explores these concepts and techniques in relation to the process of writing the novel After the Planes. After the Planes depicts multiple generations of a family who utilize storytelling as a means to work through grief, hurt, misunderstanding, and loss—whether from interpersonal conflicts or from war. Against her father’s wishes, a young woman moves in with her nearly-unknown grandfather, …
Date: May 2012
Creator: Boswell, Timothy
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Age Friendly Cities: The Bureaucratic Responsiveness Effects on Age Friendly Policy Adoption (open access)

Age Friendly Cities: The Bureaucratic Responsiveness Effects on Age Friendly Policy Adoption

Challenging a long-held attachment to the medical model, this research develops a cultural model placing local governments at the center of policy making and refocusing policy attention on mobility, housing, the built environment and services. To examine the phenomenon of age friendly policy adoption by cities and the magnitude of adoption, a 21-question web-based survey was administered to a sample of 1,050 cities from the U.S. Census having a population over 10,000 and having at least 14% of their population aged 65 years and over. The goal of the questionnaire was to help identify what kind of policy objectives cities establish to facilitate the opportunity for older adults to live healthy and independent lives in their communities as they age. Multiple linear and ordinal regression models examined the likelihood of policy action by cities and provide evidence as to why some cities support more age friendly policy actions than others. Evidence illustrates theoretical advancement providing support for a cultural model of aging. The cultural model includes multiple factors including bureaucratic responsiveness reflected in the management values of the administration. Findings show variation in the integration of a cultural awareness of aging in the municipality's needs assessment, strategic goals, citizen engagement …
Date: May 2017
Creator: Keyes, Laura Marie
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Aging Is a Determinant in Anoxia Stress Tolerance in Caenorhabditis Elegans (open access)

Aging Is a Determinant in Anoxia Stress Tolerance in Caenorhabditis Elegans

Oxygen availability is critical for survival for most organisms. The nematode, C. elegans, has been useful for studying genetic regulation of anoxia tolerance due to the oxygen deprivation response mechanisms shared with other metazoans. Studies examining long-term anoxia (72h, LTA) tolerance have only been conducted at adult day 1. To investigate the effect of aging on anoxia tolerance wild-type and mutant strains were exposed to LTA between adult day 1 and day 9. Wild-type isolates and daf-16(mu86) (FOXO transcription factor regulated by insulin-signaling) and aak-2(gt33) (catalytic subunit of AMP-activated protein kinase) strains were anoxia sensitive at day 1 and displayed increased LTA tolerance with aging correlated with reproductive senescence followed by a decline in survivorhsip through day 9. The daf-2(e1370) (insulin receptor homologue of C. elegans), glp-1(e2141) (a lin-12/Notch receptor) and fog-2(q71) (required for spermatogenesis) strains were LTA-tolerant through day 5. I conclude that aging influences LTA-tolerance in a strain- and age-dependent manner. In addition to being LTA-tolerant the daf-2(e1370) and glp-1(e2141) strains have a longevity phenotype that is suppressed by loss of kri-1 or daf-12. While loss of kri-1 did not suppress the LTA-tolerant phenotype of glp-1(e2141) at day 1 the portion of impaired survivors increased at day 3 …
Date: May 2013
Creator: Goy, Jo M.
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Airbourne WiFi Networks Through Directional Antenna: An Experimental Study (open access)

Airbourne WiFi Networks Through Directional Antenna: An Experimental Study

In situations where information infrastructure is destroyed or not available, on-demand information infrastructure is pivotal for the success of rescue missions. In this paper, a drone-carried on demand information infrastructure for long-distance WiFi transmission system is developed. It can be used in the areas including emergency response, public event, and battlefield. The WiFi network can be connected to the Internet to extend WiFi access to areas where WiFi and other Internet infrastructures are not available. In order to establish a local area network to propagate WIFI service, directional antennas and wireless routers are used to create it. Due to unstable working condition on the flying drones, a precise heading turning stage is designed to maintain the two directional antennas facing to each other. Even if external interferences change the heading of the drones, the stages will automatically rotate back to where it should be to offset the bias. Also, to maintain the same flying altitude, a ground controller is designed to measure the height of the drones so that the directional antennas can communicate to each other successfully. To verify the design of the whole system, quite a few field experiments were performed. Experiments results indicates the design is reliable, …
Date: May 2015
Creator: Gu, Yixin
Object Type: Thesis or Dissertation
System: The UNT Digital Library
AirSniffer: A Smartphone-Based Sensor Module for Personal Micro-Climate Monitoring (open access)

AirSniffer: A Smartphone-Based Sensor Module for Personal Micro-Climate Monitoring

Environmental factors can have a significant impact on an individual's health and well-being, and a primary characteristic of environments is air quality. Air sensing equipment is available to the public, but it is often expensive,stationary, or unusable for persons without technical expertise. The goal of this project is to develop an inexpensive and portable sensor module for public use. The system is capable of measuring temperature in Celsius and Fahrenheit, heat index, relative humidity, and carbon dioxide concentration. The sensor module, referred to as the "sniffer," consists of a printed circuit board that interconnects a carbon dioxide sensor, a temperature/humidity sensor, an Arduino microcontroller, and a Bluetooth module. The sniffer is small enough to be worn as a pendant or a belt attachment, and it is rugged enough to consistently collect and transmit data to a user's smartphone throughout their workday. The accompanying smartphone app uses Bluetooth and GPS hardware to collect data and affix samples with a time stamp and GPS coordinates. The accumulated sensor data is saved to a file on the user's phone, which is then examined on a standard computer.
Date: May 2016
Creator: Smith, Jeffrey Paul
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Alfredo Casella's Serenata, op. 46, A Performance Guide for the Ensemble and Trumpet Part (open access)

Alfredo Casella's Serenata, op. 46, A Performance Guide for the Ensemble and Trumpet Part

Alfredo Casella's Serenata, op. 46 for clarinet, bassoon, trumpet, violin and cello is a composition that received great acclaim at the time of its conception, it is all but unknown to modern audiences and performers. The Serenata has several historical influences from the French and Italian Baroque and Classical periods. At present, there is limited scholarship regarding the Serenata op. 46. The first section of this study presents a survey of historical information, current literature and methods of examination. The second section compares movements of the Serenata op. 46 to other historical forms of similar design. The third section provides a performance guide for the trumpeter and ensemble. Implications and suggestions for performance of the composition are provided for the trumpeter. This performance guide provides the trumpeter and ensemble with performance information to help facilitate an informed performance.
Date: May 2011
Creator: Walker, Brian Matthew
Object Type: Thesis or Dissertation
System: The UNT Digital Library
Algebraically Determined Semidirect Products (open access)

Algebraically Determined Semidirect Products

Let G be a Polish group. We say that G is an algebraically determined Polish group if given any Polish group L and any algebraic isomorphism from L to G, then the algebraic isomorphism is a topological isomorphism. We will prove a general theorem that gives useful sufficient conditions for a semidirect product of two Polish groups to be algebraically determined. This will smooth the way for the proofs for some special groups. For example, let H be a separable Hilbert space and let G be a subset of the unitary group U(H) acting transitively on the unit sphere. Assume that -I in G and G is a Polish topological group in some topology such that H x G to H, (x,U) to U(x) is continuous, then H x G is a Polish topological group. Hence H x G is an algebraically determined Polish group. In addition, we apply the above the above result on the unitary group U(A) of a separable irreducible C*-algebra A with identity acting transitively on the unit sphere in a separable Hilbert space H and proved that the natural semidirect product H x U(A) is an algebraically determined Polish group. A similar theorem is true …
Date: May 2011
Creator: Jasim, We'am Muhammad
Object Type: Thesis or Dissertation
System: The UNT Digital Library