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

ISBN-13: 9781470451332 / Angielski / Twarda / 2019 / 404 str.

Dana P. Williams

Spis treści

• 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.