Characterizations of amenable representations of compact groups

Tom 213 / 2012

Michael Yin-Hei Cheng Studia Mathematica 213 (2012), 207-225 MSC: Primary 43A07, 43A22, 46J10; Secondary 43A40, 46J30. DOI: 10.4064/sm213-3-2


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.


  • Michael Yin-Hei ChengDepartment of Pure Mathematics
    University of Waterloo
    Waterloo, ON N2L 3G1, Canada

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