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E-book
Author Sims, Aidan.

Title Operator algebras and dynamics : groupoids, crossed products, and Rokhlin dimension / Aidan Sims, Gábor Szabó, Dana Williams ; editor for this volume: Francesc Perera
Published Cham : Birkhäuser, 2020
©2020

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Description 1 online resource (x, 163 pages)
Series Advanced Courses in Mathematics -- CRM Barcelona, 2297-0304
Advanced courses in mathematics, CRM Barcelona.
Contents Part I. A Primer on Crossed Products -- What is a Crossed Product? -- Induced Representations and Imprimitivity Theorems -- Ideal Structure -- Type Theory, Actions on the Compacts and the Effros-Hahn Theory -- Tensor Products, K-Theory and Rotation Algebras -- The roads not taken -- Part II. Hausdor Étale Groupoids and Their C*-algebras -- Introduction -- Etale groupoids -- C*-algebras and equivalence -- Fundamental structure theory -- Cartan pairs, and dixmier-Douady theory for fell algebras -- Part III. Introduction to Rokhlin Dimension -- Introduction -- Classical dynamical systems -- Classification theory and nuclear dimension -- Rokhlin dimension for finite groups -- Single automorphisms -- Outlook: generalizations
Summary This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids
Bibliography Includes bibliographical references and index
Subject Operator algebras.
Álgebras de operadores
Operator algebras
Form Electronic book
Author Szabó, Gábor
Williams, Dana
ISBN 9783030397135
3030397130