The Baum-Connes Conjecture for KK-theory

Abstract

We define and compare two bivariant generalizations of the topological $K$-group $K^{\top }(G)$ for a topological group $G$. We consider the Baum-Connes conjecture in this context and study its relation to the usual Baum-Connes conjecture.

v2: major rewrite based on new development v3: 23 pages, to appear in Journal of K-theory

Cited by in corpus (2)

• Groups with Spanier-Whitehead duality
• Homotopy Theory for C^{*}-algebras