Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups
Studia Mathematica, Tome 233 (2016) no. 1, p. 1.

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This paper continues the joint work with A. R. Medghalchi (2012) and the author’s recent work (2015). For an inverse semigroup S, it is shown that A p ( S ) has a bounded approximate identity if and only if l¹(S) is amenable (a generalization of Leptin’s theorem) and that A(S), the Fourier algebra of S, is operator amenable if and only if l¹(S) is amenable (a generalization of Ruan’s theorem).
Classification : 43A15, 20M18
Mots-clés : Figa-Talamanca-Herz algebras, amenability, semigroup algebras 
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Hasan Pourmahmood-Aghababa. Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups. Studia Mathematica, Tome 233 (2016) no. 1, p. 1. https://geodesic-test.mathdoc.fr/item/STUMA_2016__233_1_286168/