Hilbert C*-modules and amenable actions

Details Hilbert C*-modules and amenable actions Hilbert C*-modules and amenable actions

2009-08-08

arxiv.org/abs/0908.1173v2

Studia Math. 199 (2010), no. 2, 185--197

Mathematics

Functional Analysis

Final version, to appear in Studia Mathematica

Scientific paper

10.4064/sm199-2-4

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.

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