Oberwolfach Seminars

Topological and Bivariant K-Theory

Authors: Cuntz, Joachim, Rosenberg, Jonathan

  • First available book on bivariant topological K-theory for algebras other than C*-algebras with complete proofs
  • Several new results about bivariant K-theory for general algebras in this book did not even appear in journal publications before
  • The exposition is accessible to graduate students
  • Modern ideas from category theory are used to study bivariant K-theory
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eBook $34.99
price for USA (gross)
  • ISBN 978-3-7643-8399-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-7643-8398-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory.

We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.

Table of contents (13 chapters)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-7643-8399-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-7643-8398-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topological and Bivariant K-Theory
Authors
Series Title
Oberwolfach Seminars
Series Volume
36
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8399-2
DOI
10.1007/978-3-7643-8399-2
Softcover ISBN
978-3-7643-8398-5
Series ISSN
1661-237X
Edition Number
1
Number of Pages
XII, 262
Topics