A tool kit for groupoid C*-algebras /

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Bibliographic Details
Author / Creator:Williams, Dana P., 1952- author.
Imprint:Providence, Rhode Island : American Mathematical Society, [2019]
©2019
Description:xv, 398 pages : illustrations ; 27 cm.
Language:English
Series:Mathematical surveys and monographs ; Volume 241
Mathematical surveys and monographs ; no. 241.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11965759
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Varying Form of Title:Groupoid C*-algebras
ISBN:9781470451332
1470451336
Notes:Includes bibliographical references (page 387-392) and indexes.
Summary: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.