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A Tool Kit for Groupoid $C^{*}$-Algebras
About this Title
Dana P. Williams, Dartmouth College, Hanover, NH
Publication: Mathematical Surveys and Monographs
Publication Year:
2019; Volume 241
ISBNs: 978-1-4704-5133-2 (print); 978-1-4704-5409-8 (online)
DOI: https://doi.org/10.1090/surv/241
MathSciNet review: 3969970
MSC: Primary 46-02; Secondary 22A22, 22D25, 46Lxx
Table of Contents
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Front/Back Matter
Chapters
- 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
- Renaultâs Disintegration Theorem
- Amenability for groupoids
- Measurewise amenability for groupoids
- Comments on simplicity
- Duals and topological vector spaces
- Remarks on Blanchardâs Theorem
- The inductive limit topology
- Ramsay almost everywhere
- Answers to some of the exercises
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