Geodesic
Characterizations of amenable representations of compact groups
Michael Yin-Hei Cheng1
1 Department of Pure Mathematics University of Waterloo Waterloo, ON N2L 3G1, Canada
Studia Mathematica, Tome 213 (2012) no. 3, pp. 207-225 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $G$ be a locally compact group and let $\pi $ be a unitary representation. We study amenability and H-amenability of $\pi $ in terms of the weak closure of $(\pi \otimes \pi )(G)$ and factorization properties of associated coefficient subspaces (or subalgebras) in $B(G)$. By applying these results, we obtain some new characterizations of amenable groups.
DOI : 10.4064/sm213-3-2
Keywords: locally compact group unitary representation study amenability h amenability terms weak closure otimes factorization properties associated coefficient subspaces subalgebras applying these results obtain characterizations amenable groups

Michael Yin-Hei Cheng 1

1 Department of Pure Mathematics University of Waterloo Waterloo, ON N2L 3G1, Canada 
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Michael Yin-Hei Cheng. Characterizations of amenable representations of compact groups. Studia Mathematica, Tome 213 (2012) no. 3, pp. 207-225. doi: 10.4064/sm213-3-2

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