Tool Kit for Groupoid C∗ -Algebras

Released on by Dana P. Williams
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  • Tool Kit for Groupoid C∗ -Algebras Book Detail

  • Author : Dana P. Williams
  • Release Date : 2019-09-24
  • Publisher : American Mathematical Soc.
  • Genre : C*-algebras
  • Pages : 398
  • ISBN 13 : 1470451336
  • File Size : 59,59 MB
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Tool Kit for Groupoid C∗ -Algebras by Dana P. Williams PDF Summary

Book Description: 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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Tool Kit for Groupoid C∗ -Algebras

Tool Kit for Groupoid C∗ -Algebras

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The construction of a C∗-algebra from a locally compact groupoid is an important generalization of the group C∗-algebra construction and of the transformati

Crossed Products of $C^*$-Algebras

Crossed Products of $C^*$-Algebras

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The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutati