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Amenability Properties of the Centres of Group Algebras by Azimifard, Ahmadreza; Samei, Ebrahim; Spronk, Nico is a scholarly article available to read on EtoBox.

What is Amenability Properties of the Centres of Group Algebras about?

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).

Author

Azimifard, Ahmadreza; Samei, Ebrahim; Spronk, Nico

Published

2008

Language

EN