Hilbert C*-modules and amenable actions

Ronald G. Douglas, and Piotr W. Nowak. "Hilbert C*-modules and amenable actions." Studia Mathematica 199.2 (2010): 185-197. <http://eudml.org/doc/285804>.

@article{RonaldG2010,
abstract = {We study actions of discrete groups on Hilbert C*-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups, provided there exists a quasi-invariant probability measure which is sufficiently close to being invariant.},
author = {Ronald G. Douglas, Piotr W. Nowak},
journal = {Studia Mathematica},
keywords = {amenable action; quasi-invariant probability measure; Haagerup property; amenability},
language = {eng},
number = {2},
pages = {185-197},
title = {Hilbert C*-modules and amenable actions},
url = {http://eudml.org/doc/285804},
volume = {199},
year = {2010},
}

TY - JOUR
AU - Ronald G. Douglas
AU - Piotr W. Nowak
TI - Hilbert C*-modules and amenable actions
JO - Studia Mathematica
PY - 2010
VL - 199
IS - 2
SP - 185
EP - 197
AB - We study actions of discrete groups on Hilbert C*-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups, provided there exists a quasi-invariant probability measure which is sufficiently close to being invariant.
LA - eng
KW - amenable action; quasi-invariant probability measure; Haagerup property; amenability
UR - http://eudml.org/doc/285804
ER -