Dana P. Williams's Books

Morita Equivalence and Continuous-Trace $C^*$-Algebras

By: Iain Raeburn,Dana P. Williams

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Morita Equivalence and Continuous-Trace $C^*$-Algebras

By: Iain Raeburn,Dana P. Williams

A modern treatment of this complex mathematical topic for students beginning research in operator algebras as well as mathematical physicists. Topics include the algebra of compact operators, sheaves, cohomology, the Brauer group and group actions, and the imprimivity theorem. The authors assume a knowledge of C*-algebras, the Gelfand-Naimark Theorem, continuous functional calculus, positivity, and the GNS- construction. Annotation copyrighted by Book News, Inc., Portland, OR

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Page Count

345

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821808605

ISBN 13

9780821808603

Crossed Products of $C^*$-Algebras

By: Dana P. Williams

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Crossed Products of $C^*$-Algebras

By: Dana P. Williams

The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of induced representations and Morita equivalence of $C*$-algebras are based. There is also a detailed treatment of the generalized Effros-Hahn conjecture and its proof due to Gootman, Rosenberg, and Sauvageot. This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material. Some of the appendices will be of independent interest. to view another book by this author, please visit Morita Equivalence and Continuous-Trace $C*$-Algebras.

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Page Count

546

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842420

ISBN 13

9780821842423

Tool Kit for Groupoid C∗ -Algebras

By: Dana P. Williams

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Tool Kit for Groupoid C∗ -Algebras

By: Dana P. Williams

The construction of a C∗-algebra from a locally compact groupoid is an important generalization of the group C∗-algebra construction and of the transformation group C∗-algebra construction. Since their introduction in 1980, groupoid C∗-algebras have been intensively studied with diverse applications, including graph algebras, classification theory, variations on the Baum-Connes conjecture, and noncommutative geometry. This book provides a detailed introduction to this vast subject and is suitable for graduate students or any researcher who wants to use groupoid C∗-algebras in their work. The main focus is to equip the reader with modern versions of the basic technical tools used in the subject, which will allow the reader to understand fundamental results and make contributions to various areas in the subject. Thus, in addition to covering the basic properties and construction of groupoid C∗-algebras, the focus is to give a modern treatment of some of the major developments in the subject in recent years, including the Equivalence Theorem and the Disintegration Theorem. Also covered are the complicated subjects of amenability of groupoids and simplicity results. The book is reasonably self-contained and accessible to graduate students with a good background in operator algebras.

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Page Count

417

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451336

ISBN 13

9781470451332

Commonwealth Caribbean Criminal Practice and Procedure

By: Dana S. Seetahal

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Commonwealth Caribbean Criminal Practice and Procedure

By: Dana S. Seetahal

The fourth edition of this best-selling book has been thoroughly revised to take into account recent developments in the law in criminal practice and procedure across the region. The only textbook that explores criminal practice and procedure as it relates to the Commonwealth Caribbean, the book clarifies the state law in each of 11 jurisdictions, at the same time making it clear when laws are the same or similar and highlighting where differences among jurisdictions occur. Both statute law and common law are examined in the relevant jurisdictions, which include Trinidad and Tobago, Guyana, Barbados, Jamaica and Grenada amongst others. The impact of statutory changes in the laws are analysed, as well as recent developments in the common law. Throughout the text the statutory law in the Commonwealth Caribbean is compared to similar English legislation, in the light of the analysis of such legislation in English case law. Commonwealth Caribbean Criminal Practice and Procedure is the recommended textbook for all profes- sional law schools in the Commonwealth Caribbean and is used at regional universities as a reference book for criminal justice students. In addition, as the only book that deals specifically with criminal practice and procedure in the regions, it has proved a valuable reference tool for legal practitioners, judicial officers and police officers.

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Page Count

495

Publisher

Routledge

Published Date

ISBN 10

1136674284

ISBN 13

9781136674280

Book's by Dana P. Williams

Morita Equivalence and Continuous-Trace $C^*$-Algebras

Morita Equivalence and Continuous-Trace $C^*$-Algebras

Crossed Products of $C^*$-Algebras

Crossed Products of $C^*$-Algebras

Tool Kit for Groupoid C∗ -Algebras

Tool Kit for Groupoid C∗ -Algebras

Commonwealth Caribbean Criminal Practice and Procedure

Commonwealth Caribbean Criminal Practice and Procedure

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