Cart
  • Free Shipping on all orders in Australia
  • Over 7 million books in stock
  • Proud to be B-Corp
  • We aim to be carbon neutral by 2022
  • Over 120,000 Trustpilot reviews
Item 1 of 0
A Tool Kit for Groupoid $C^*$-Algebras By Dana P. Williams

A Tool Kit for Groupoid $C^{*}$-Algebras by Dana P. Williams

Condition - New
$272.79
Only 1 left

Summary

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.

A Tool Kit for Groupoid $C^{*}$-Algebras Summary

A 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.

About Dana P. Williams

Dana P. Williams, Dartmouth College, Hanover, NH.

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.

    Additional information

    NGR9781470451332
    9781470451332
    1470451336
    A Tool Kit for Groupoid $C^{*}$-Algebras by Dana P. Williams
    New
    Hardback
    American Mathematical Society
    2019-11-30
    404
    N/A
    Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
    This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

    Customer Reviews - A Tool Kit for Groupoid $C^{*}$-Algebras