Amenability properties of the centres of group algebras

Details Amenability properties of the centres of group algebras Amenability properties of the centres of group algebras

2008-05-23

arxiv.org/abs/0805.3685v1

Mathematics

Functional Analysis

20 pages

Scientific paper

Let G be a locally compact group, and ZL1(G) be the centre of its group
algebra. We show that when $G$ is compact ZL1(G) is not amenable when G is
either nonabelian and connected, or is a product of infinitely many finite
nonabelian groups. We also, study, for some non-compact groups G, some
conditions which imply amenability and hyper-Tauberian property, for ZL1(G).

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