Amenability properties of the centres of group algebras

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dc.creatorAzimifard, Ahmadreza
dc.creatorSamei, Ebrahim
dc.creatorSpronk, Nico
dc.date2008-05-23
dc.date.accessioned2026-07-07T09:40:41Z
dc.date.available2026-07-07T09:40:41Z
dc.descriptionLet 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).
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0805.3685
dc.identifierhttp://arxiv.org/abs/0805.3685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161565
dc.subjectFunctional Analysis
dc.subject43A20; 47B47; 22C05; 22D05; 43A62
dc.titleAmenability properties of the centres of group algebras
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