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© 2017

K-Theory for Group C*-Algebras and Semigroup C*-Algebras

Textbook

Part of the Oberwolfach Seminars book series (OWS, volume 47)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Joachim Cuntz, Siegfried Echterhoff, Xin Li, Guoliang Yu
    Pages 1-3
  3. Siegfried Echterhoff
    Pages 81-147
  4. Xin Li
    Pages 167-272
  5. Joachim Cuntz
    Pages 273-296
  6. Joachim Cuntz
    Pages 297-306
  7. Back Matter
    Pages 307-319

About this book

Introduction

This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions.

Keywords

C*-algebras group C*-algebras semigroup-C*-algebras crossed products K-theory KK-theory bivariant K-theory Baum-Connes conjecture

Authors and affiliations

  1. 1.Mathematisches InstitutUniversität Münster MünsterGermany
  2. 2.Mathematisches InstitutUniversität Münster MünsterGermany
  3. 3.Queen Mary University of LondonSchool of Mathematical Sciences Queen Mary University of LondonLondonUnited Kingdom
  4. 4.Department of MathematicsTexas A&M University Department of MathematicsCollege StationUSA

About the authors

Joachim Cuntz is a full Professor at the Westfälische Wilhelms-Universität in Münster, Germany.

Siegfried Echterhoff is a full Professor at the Westfälische Wilhelms-Universität in Münster, Germany.

Xin Li is a Senior Lecturer in Pure Mathematics at Queen Mary University of London, United Kingdom.

Guoliang Yu is Powell Chair in Mathematics and Professor at the Texas A&M University, USA.

Bibliographic information