The Bost conjecture, open subgroups and groups acting on trees
Abstract
Description
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.
17 pages; to be published in the Journal of K-Theory
17 pages; to be published in the Journal of K-Theory