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Crossed Products with Continuous Trace

1996 Mathematics
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Release : 1996
Genre : Mathematics
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Book Rating : 630/5 ( reviews)

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Book Synopsis Crossed Products with Continuous Trace by : Siegfried Echterhoff

Download or read book Crossed Products with Continuous Trace written by Siegfried Echterhoff. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: This memoir presents an extensive study of strongly continuous actions of abelian locally compact groups on [italic capital]C*-algebras with continuous trace. Expositions of the Mackey-Green-Rieffel machine of induced representations and the theory of Morita equivalent [italic capital]C*-dynamical systems are included. There is also an elaboration of the representation theory of crossed products by actions of abelian groups on type I [italic capital]C*-algebras.

Crossed Products of Continuous-trace C*-algebras by Smooth Actions

1985
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Release : 1985
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Book Synopsis Crossed Products of Continuous-trace C*-algebras by Smooth Actions by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Crossed Products of Continuous-trace C*-algebras by Smooth Actions written by Mathematical Sciences Research Institute (Berkeley, Calif.).. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:

Crossed Products of $C^*$-Algebras

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 420/5 ( reviews)

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Book Synopsis Crossed Products of $C^*$-Algebras by : Dana P. Williams

Download or read book Crossed Products of $C^*$-Algebras written by Dana P. Williams. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 605/5 ( reviews)

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Book Synopsis Morita Equivalence and Continuous-Trace $C^*$-Algebras by : Iain Raeburn

Download or read book Morita Equivalence and Continuous-Trace $C^*$-Algebras written by Iain Raeburn. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: 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

C*-Algebras

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 88X/5 ( reviews)

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Book Synopsis C*-Algebras by : Joachim Cuntz

Download or read book C*-Algebras written by Joachim Cuntz. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of articles provided by the participants of the SFB-workshop on C*-algebras, March 8 - March 12, 1999 which was held at the Sonderforschungsbereich "Geometrische Strukturen in der reinen Mathematik" of the University of Münster, Germany. The aim of the workshop was to bring together leading experts in the theory of C* -algebras with promising young researchers in the field, and to provide a stimulating atmosphere for discussions and interactions between the participants. There were 19 one-hour lectures on various topics like - classification of nuclear C* -algebras, - general K-theory for C* -algebras, - exact C* -algebras and exact groups, - C*-algebras associated to (infinite) matrices and C*-correspondences, - noncommutative prob ability theory, - deformation quantization, - group C* -algebras and the Baum-Connes conjecture, giving a broad overview of the latest developments in the field, and serving as a basis for discussions. We, the organizers of the workshop, were greatly pleased with the excellence of the lectures and so were led to the idea of publishing the proceedings of the conference. There are basically two kinds of contributions. On one side there are several articles giving surveys and overviews on new developments and im portant results of the theory, on the other side one finds original articles with interesting new results.

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