Non-unitary representations, Baum-Connes morphism and unconditional completions
K-Theory and Homology
2008-04-29 v1 Operator Algebras
Abstract
We show that the Baum-Connes morphism twisted by a non-unitary representation, defined in [GA08], is an isomorphism for a large class of groups satisfying the Baum-Connes conjecture. Such class contains all the real semi-simple Lie groups, all hyperbolic groups and many infinite discret groups having Kazhdan's property (T). We define a tensorisation by a non-unitary finite dimensional representation on the left handside of the Baum-Connes morphism and we show that its analogue in K-theory must be defined on the K-theory of the twisted group algebras introduced in [GA07b].
Cite
@article{arxiv.0804.4454,
title = {Non-unitary representations, Baum-Connes morphism and unconditional completions},
author = {Maria-Paula Gomez-Aparicio},
journal= {arXiv preprint arXiv:0804.4454},
year = {2008}
}
Comments
29 pages, in french