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Hilbert C*-modules and amenable actions

Ronald G. DouglasPiotr W. Nowak — 2010

Studia Mathematica

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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