Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-2,
author = {Michael Yin-Hei Cheng},
title = {Characterizations of amenable representations of compact groups},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {207-225},
zbl = {1272.43001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-2}
}
Michael Yin-Hei Cheng. Characterizations of amenable representations of compact groups. Studia Mathematica, Tome 209 (2012) pp. 207-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-2/