Geodesic
Hilbert $C^*$-modules and amenable actions
Ronald G. Douglas1 ; Piotr W. Nowak1
1 Department of Mathematics Texas A&M University College Station, TX 77843, U.S.A.
Studia Mathematica, Tome 199 (2010) no. 2, pp. 185-197 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm199-2-4
Mots-clés : study actions discrete groups hilbert * modules induced topological actions compact hausdorff spaces non amenability actions non amenable non a t menable groups provided there exists quasi invariant probability measure which sufficiently close being invariant

Ronald G. Douglas 1 ; Piotr W. Nowak 1

1 Department of Mathematics Texas A&M University College Station, TX 77843, U.S.A. 
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Ronald G. Douglas; Piotr W. Nowak. Hilbert $C^*$-modules and amenable actions. Studia Mathematica, Tome 199 (2010) no. 2, pp. 185-197. doi: 10.4064/sm199-2-4

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