Description
Book SynopsisSince 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.
