## Hilbert C*-modules and amenable actions

##### Authors
Douglas, Ronald G.
Nowak, Piotr W.
##### Description
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.
Comment: Final version, to appear in Studia Mathematica
##### Keywords
Mathematics - Functional Analysis, Mathematics - Dynamical Systems, Mathematics - Group Theory