Characterizations of amenable representations of compact groups
Volume 213 / 2012
Studia Mathematica 213 (2012), 207-225
MSC: Primary 43A07, 43A22, 46J10; Secondary 43A40, 46J30.
DOI: 10.4064/sm213-3-2
Abstract
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.
