English

The Connes-Kasparov conjecture for almost connected groups

Operator Algebras 2007-05-23 v2

Abstract

Let GG be a locally compact group with cocompact connected component. We prove that the assembly map from the topological \k\k-theory of GG to the \k\k-theory of the reduced CC^*-algebra of GG is an isomorphism.

Keywords

Cite

@article{arxiv.math/0110130,
  title  = {The Connes-Kasparov conjecture for almost connected groups},
  author = {Jerome Chabert and Siegfried Echterhoff and Ryszard Nest},
  journal= {arXiv preprint arXiv:math/0110130},
  year   = {2007}
}

Comments

29 pages