Frontiers in Mathematics

Homotopy Theory of C*-Algebras

Authors: Østvær, Paul Arne

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  • First account of the homotopy theoretic viewpoint of C*-algebras encoded in the notion of a C*-space
  • Unifies two separate mathematical topics
  • Opens up a whole host of new research problems
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About this book

Homotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-0346-0565-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-0346-0564-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Homotopy Theory of C*-Algebras
Authors
Series Title
Frontiers in Mathematics
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0346-0565-6
DOI
10.1007/978-3-0346-0565-6
Softcover ISBN
978-3-0346-0564-9
Series ISSN
1660-8046
Edition Number
1
Number of Pages
VI, 140
Topics