Characterizations of amenable representations of compact groups

@article{MichaelYin2012,
abstract = {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.},
author = {Michael Yin-Hei Cheng},
journal = {Studia Mathematica},
keywords = {Fourier algebras; Fourier-Stieltjes algebras; locally compact group; amenability; approximate identity; factorization; weak closure; von Neumann algebras},
language = {eng},
number = {3},
pages = {207-225},
title = {Characterizations of amenable representations of compact groups},
url = {http://eudml.org/doc/285694},
volume = {213},
year = {2012},
}

TY - JOUR
AU - Michael Yin-Hei Cheng
TI - Characterizations of amenable representations of compact groups
JO - Studia Mathematica
PY - 2012
VL - 213
IS - 3
SP - 207
EP - 225
AB - 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.
LA - eng
KW - Fourier algebras; Fourier-Stieltjes algebras; locally compact group; amenability; approximate identity; factorization; weak closure; von Neumann algebras
UR - http://eudml.org/doc/285694
ER -