Joachim Cuntz, Siegfried Echterhoff, Xin Li, Guoliang Yu

K-Theory for Group C*-Algebras and Semigroup C*-Algebras (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 322
• Erscheinungstermin: 24. Oktober 2017
• Englisch
• ISBN-13: 9783319599151
• Artikelnr.: 53061783

Autorenporträt

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.

Inhaltsangabe

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.