The Bost conjecture, open subgroups and groups acting on trees
K-Theory and Homology
2009-02-26 v1 Operator Algebras
Abstract
The Bost conjecture with C*-algebra coefficients for locally compact Hausdorff groups passes to open subgroups. We also prove that if a locally compact Hausdorff group acts on a tree, then the Bost conjecture with C*-coefficients is true for the group if and only if it is true for the stabilisers of the vertices.
Keywords
Cite
@article{arxiv.0902.4339,
title = {The Bost conjecture, open subgroups and groups acting on trees},
author = {Walther Paravicini},
journal= {arXiv preprint arXiv:0902.4339},
year = {2009}
}
Comments
17 pages; to be published in the Journal of K-Theory