Amenability properties of the centres of group algebras
Functional Analysis
2008-05-26 v1
Abstract
Let G be a locally compact group, and ZL1(G) be the centre of its group algebra. We show that when 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).
Keywords
Cite
@article{arxiv.0805.3685,
title = {Amenability properties of the centres of group algebras},
author = {Ahmadreza Azimifard and Ebrahim Samei and Nico Spronk},
journal= {arXiv preprint arXiv:0805.3685},
year = {2008}
}
Comments
20 pages