English

Twisting the Baum-Connes morphism by a non-unitary representation

Operator Algebras 2008-03-18 v1 K-Theory and Homology

Abstract

Let G be a locally compact group and rho a non-unitary finite dimensional representation of G. We consider tensor products of rho by some unitary representations of G in order to define two Banach algebras analogous to the group C*-algebras, C*(G) and C*_r(G). We calculate the K-theory of such algebras for a large class of groups satisfying the Baum-Connes conjecture.

Keywords

Cite

@article{arxiv.0803.2472,
  title  = {Twisting the Baum-Connes morphism by a non-unitary representation},
  author = {Maria-Paula Gomez-Aparicio},
  journal= {arXiv preprint arXiv:0803.2472},
  year   = {2008}
}

Comments

40 pages, in french

R2 v1 2026-06-21T10:22:09.853Z