Topological and Bivariant K-Theory
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 a...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser
2007, 2007
|
| Edition: | 1st ed. 2007 |
| Series: | Oberwolfach Seminars
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- The elementary algebra of K-theory
- Functional calculus and topological K-theory
- Homotopy invariance of stabilised algebraic K-theory
- Bott periodicity
- The K-theory of crossed products
- Towards bivariant K-theory: how to classify extensions
- Bivariant K-theory for bornological algebras
- A survey of bivariant K-theories
- Algebras of continuous trace, twisted K-theory
- Crossed products by ? and Connes’ Thom Isomorphism
- Applications to physics
- Some connections with index theory
- Localisation of triangulated categories