Hilbert $C^*$-modules and amenable actions
Volume 199 / 2010
Studia Mathematica 199 (2010), 185-197
MSC: Primary 22F10; Secondary 46C99.
DOI: 10.4064/sm199-2-4
Abstract
We study actions of discrete groups on Hilbert $C^*$-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups, provided there exists a quasi-invariant probability measure which is sufficiently close to being invariant.
