English

The Baum-Connes Conjecture for KK-theory

K-Theory and Homology 2011-10-18 v4 Operator Algebras

Abstract

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

Keywords

Cite

@article{arxiv.math/0403511,
  title  = {The Baum-Connes Conjecture for KK-theory},
  author = {Otgonbayar Uuye},
  journal= {arXiv preprint arXiv:math/0403511},
  year   = {2011}
}

Comments

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