Specifications
| Publisher | Birkhauser |
| ISBN 13 | 9783319599144 |
| ISBN 10 | 3319599143 |
| Book Description | 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. Part of the most basic structural information for such a C*-algebra is contained in its K-theory. The determination of the K-groups of C*-algebras constructed from group or semigroup actions is a particularly challenging problem. Paul Baum and Alain Connes proposed a formula for the K-theory of the reduced crossed product for a group action that would permit, in principle, its computation. By work of many hands, the formula has by now been verified for very large classes of groups and this work has led to the development of a host of new techniques. An important ingredient is Kasparov's bivariant K-theory. |
| About the Author | Joachim Cuntz is a full Professor at the Westfalische Wilhelms-Universitat in Munster, Germany. Siegfried Echterhoff is a full Professor at the Westfalische Wilhelms-Universitat in Munster, 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. |
| Language | English |
| Author | Joachim J R Cuntz, Siegfried Echterhoff, Xin Li, Guoliang Yu |
| Edition Number | 1 |
| Publication Date | 30th Nov 2017 |
| Number of Pages | 322 |
K-theory For Group C*-algebras And Semigroup C*-algebras paperback english - 30th Nov 2017
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