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

This book introduces the reader to the necessary technical background to study C*-algebras arising from actions of groups or semigroups

The text focuses on recent examples and techniques developed in K-Theory It contains an introduction to Baum-Connes methods as well as a concise description of the Mackey-Rieffel-Green machine for crossed products Much of the material is available here for the first time in book form

This book introduces the reader to the necessary technical background to study C*-algebras arising from actions of groups or semigroups The text focuses on recent examples and techniques developed in K-Theory It contains an introduction to Baum-Connes methods as well as a concise description of the Mackey-Rieffel-Green machine for crossed products Much of the material is available here for the first time in book form

Auteur

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.

Contenu

Introduction.- Crossed products and the Mackey-Rieffel-Green machine.- Bivariant KK-Theory and the Baum-Connes conjecure.- Quantitative K-theory for geometric operator algebras.- Semigroup C-algebras.- Algebraic actions and their C-algebras.- Semigroup C*-algebras and toric varieties.