Advertisement

Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension

  • Aidan Sims
  • Gábor Szabó
  • Dana Williams
  • Francesc Perera
Textbook
  • 1k Downloads

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Table of contents

  1. Front Matter
    Pages i-x
  2. A Primer on Crossed Products

    1. Front Matter
      Pages 1-4
    2. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 5-16
    3. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 17-27
    4. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 29-36
    5. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 37-44
    6. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 45-52
    7. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 53-57
  3. Hausdor Étale Groupoids and Their C*-algebras

    1. Front Matter
      Pages 59-61
    2. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 63-66
    3. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 67-76
    4. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 77-88
    5. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 89-102
    6. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 103-120
  4. Introduction to Rokhlin Dimension

    1. Front Matter
      Pages 121-123
    2. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 125-127
    3. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 129-135
    4. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 137-140
    5. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 141-145
    6. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 147-153
    7. Aidan Sims, Gábor Szabó, Dana Williams
      Pages 155-161
  5. Back Matter
    Pages 163-163

About this book

Introduction

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.

Keywords

crossed products topological groupoid, groupoid C*-algebra amenability Rokhlin dimension nuclear dimension

Authors and affiliations

  • Aidan Sims
    • 1
  • Gábor Szabó
    • 2
  • Dana Williams
    • 3
  1. 1.School of Mathematics and Applied StatisticsUniversity of WollongongWollongongAustralia
  2. 2.Department of MathematicsKU LeuvenLeuvenBelgium
  3. 3.Department of MathematicsDartmouth CollegeHanoverUSA

Editors and affiliations

  • Francesc Perera
    • 1
  1. 1.Universitat Autònoma de BarcelonaDepartament de MatemàtiquesBellaterraSpain

Bibliographic information

Industry Sectors
Finance, Business & Banking