A characterization of amenability of group actions on $C^\ast$-algebras

Details A characterization of amenability of group actions on $C^\ast$-algebras A characterization of amenability of group actions on $C^\ast$-algebras

2012-04-13

arxiv.org/abs/1204.3050v1

Mathematics

Operator Algebras

Scientific paper

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.

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