Annales Mathématiques Africaines


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On quasi-amenable groups



Tersia Marius Claver GBADIE 1) and Kinvi Kangni 2)

UFR Mathématiques et Informatiques, Université Félix Houphouët Boigny
22 Bp 582 Abidjan 22, Côte d’Ivoire




Mathematics Subject Classification: (2010) 28C10, 43A05, 43A07
Key words: Quasi-amenable groups, amenable algebras and groups.

Abstract:

The theory of amenable Kac algebra and amenable group is well known. In this work, we introduce a quasi-amenable structure which is an extension of the classical case and give the corresponding Johnson’s theorem. We prove that some main results obtained in the amenable version are still verified.

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