Journal of Operator Theory
Volume 72, Issue 1, Summer 2014 pp. 41-47.
A characterization of amenability of group actions on
$C^\ast$-algebras
Authors:
Masayoshi Matsumura
Author institution: Department of Mathematical Science, University of
Tokyo, Komaba, 153-8914, Japan
Summary: We show that coincidence of the full and reduced
crossed product
$C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra
implies amenability of the action whenever the group is exact. This is a
partial answer to a problem posed by C. Anantharaman-Delaroche in 1987.
DOI: http://dx.doi.org/10.7900/jot.2012sep07.1958
Keywords: $C^\ast$-algebra, amenable action, exact group
Contents
Full-Text PDF