Amenability properties of the centres of group algebras

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• 作者：Ahmadreza Azimifard ; Ebrahim Samei ; Nico Spronk
• 关键词：Compact group ; Group algebra ; Amenability
• 刊名：Journal of Functional Analysis
• 出版年：2009
• 出版时间：1 March 2009
• 年：2009
• 卷：256
• 期：5
• 页码：1544-1564
• 全文大小：219 K

文摘

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).