Mathematics: Theory & Applications

Elements of KK-Theory

Authors: Jensen, Kjeld Knudsen, Thomsen, Klaus

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About this book

The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated. Nonethe­ less, it remains a forbiddingly difficult topic with which to work and learn. There are many reasons for this. For one thing, KK-theory spans several traditionally disparate mathematical regimes. For another, the literature is scattered and difficult to penetrate. Many of the major papers require the reader to supply the details of the arguments based on only a rough outline of proofs. Finally, the subject itself has come to consist of a number of difficult segments, each of which demands prolonged and intensive study. is to deal with some of these difficul­ Our goal in writing this book ties and make it possible for the reader to "get started" with the theory. We have not attempted to produce a comprehensive treatise on all aspects of KK-theory; the subject seems too vital to submit to such a treatment at this point. What seemed more important to us was a timely presen­ tation of the very basic elements of the theory, the functoriality of the KK-groups, and the Kasparov product.

Table of contents (5 chapters)

  • Hilbert C*-Modules

    Jensen, Kjeld Knudsen (et al.)

    Pages 1-46

  • The Kasparov Approach to KK-Theory

    Jensen, Kjeld Knudsen (et al.)

    Pages 47-92

  • C*-Extensions

    Jensen, Kjeld Knudsen (et al.)

    Pages 93-119

  • The Kasparov Groups for Ungraded C*-Algebras

    Jensen, Kjeld Knudsen (et al.)

    Pages 121-161

  • Cuntz’s Picture of KK-Theory

    Jensen, Kjeld Knudsen (et al.)

    Pages 163-186

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4612-0449-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-3496-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4612-6765-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Elements of KK-Theory
Authors
Series Title
Mathematics: Theory & Applications
Copyright
1991
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0449-7
DOI
10.1007/978-1-4612-0449-7
Hardcover ISBN
978-0-8176-3496-4
Softcover ISBN
978-1-4612-6765-2
Edition Number
1
Number of Pages
VIII, 202
Topics