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arXiv · 0805.3685

Amenability properties of the centres of group algebras

Ahmadreza Azimifard·Ebrahim Samei·Nico Spronk
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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 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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Ahmadreza Azimifard, Ebrahim Samei, Nico Spronk. 2008-05-23. Amenability properties of the centres of group algebras. https://arxiv.org/abs/0805.3685

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