Hilbert C*-modules and amenable actions
Functional Analysis
2011-08-09 v2 Dynamical Systems
Group Theory
Abstract
We study actions of discrete groups on Hilbert -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.
Keywords
Cite
@article{arxiv.0908.1173,
title = {Hilbert C*-modules and amenable actions},
author = {Ronald G. Douglas and Piotr W. Nowak},
journal= {arXiv preprint arXiv:0908.1173},
year = {2011}
}
Comments
Final version, to appear in Studia Mathematica