Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591878 | Journal of Functional Analysis | 2009 | 21 Pages |
Abstract
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 non-abelian and connected, or is a product of infinitely many finite non-abelian 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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Physical Sciences and Engineering
Mathematics
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