Description

Book Synopsis
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.

Table of Contents
  • From groupoid to algebra
  • Groupoid actions and equivalence
  • Measure theory
  • Proof of the Equivalence Theorem
  • Basic representation theory
  • The existence and uniqueness of Haar systems
  • Unitary representations
  • Renault's Disintegration Theorem
  • Amenability for groupoids
  • Measurewise amenability for groupoids
  • Comments on simplicity
  • Duals and topological vector spaces
  • Remarks on Blanchard's Theorem
  • The inductive limit topology
  • Ramsay almost everywhere
  • Answers to some of the exercises
  • Notation and symbol index
  • Index
  • Bibliography.

    A Tool Kit for Groupoid C8727Algebras

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      A Hardback by Dana P. Williams

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 11/30/2019 12:00:00 AM
        ISBN13: 9781470451332, 978-1470451332
        ISBN10: 1470451336

        Description

        Book Synopsis
        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.

        Table of Contents
        • From groupoid to algebra
        • Groupoid actions and equivalence
        • Measure theory
        • Proof of the Equivalence Theorem
        • Basic representation theory
        • The existence and uniqueness of Haar systems
        • Unitary representations
        • Renault's Disintegration Theorem
        • Amenability for groupoids
        • Measurewise amenability for groupoids
        • Comments on simplicity
        • Duals and topological vector spaces
        • Remarks on Blanchard's Theorem
        • The inductive limit topology
        • Ramsay almost everywhere
        • Answers to some of the exercises
        • Notation and symbol index
        • Index
        • Bibliography.

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