• English
    • Deutsch
  • English 
    • English
    • Deutsch
  • Login
View Item 
  •   Home
  • 6 - Oberwolfach Seminars (OWS)
  • Oberwolfach Seminars
  • View Item
  •   Home
  • 6 - Oberwolfach Seminars (OWS)
  • Oberwolfach Seminars
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Topological and Bivariant K-theory

Thumbnail
Date
2007
Series
Oberwolfach Seminars;Vol. 36
Author
Cuntz, Joachim
Meyer, Ralf
Rosenberg, Jonathan M.
Metadata
Show full item record
OWS-36
Abstract
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.
DOI
10.1007/978-3-7643-8399-2
Collections
  • Oberwolfach Seminars

Mathematisches Forschungsinstitut Oberwolfach copyright © 2017-2023 
Contact Us | Legal Notice | Data Protection Statement
Leibniz Gemeinschaft
 

 

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesWorkshop CodeSubjectsMFO Series IDMSCSnapshot SubjectMFO Scientific ProgramThis CollectionBy Issue DateAuthorsTitlesWorkshop CodeSubjectsMFO Series IDMSCSnapshot SubjectMFO Scientific Program

My Account

Login

Mathematisches Forschungsinstitut Oberwolfach copyright © 2017-2023 
Contact Us | Legal Notice | Data Protection Statement
Leibniz Gemeinschaft