K-theory For Group C-algebras And Semigroup C-algebras paperback english - 30th Nov 2017

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Publisher	Birkhauser
ISBN 10	3319599143
Book Format	Paperback
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.
Edition Number	1
Number of Pages	322

ISBN 13	9783319599144
Author	Joachim J R Cuntz, Siegfried Echterhoff, Xin Li, Guoliang Yu
Language	English
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.
Publication Date	30th Nov 2017

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K-theory For Group C*-algebras And Semigroup C*-algebras paperback english - 30th Nov 2017

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