Geodesic
Amenability properties of Figà-Talamanca–Herz algebras on inverse semigroups
Hasan Pourmahmood-Aghababa1
1 Department of Mathematics University of Tabriz Tabriz, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran
Studia Mathematica, Tome 233 (2016) no. 1, pp. 1-12 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 ${\rm A}_p(S)$ has a bounded approximate identity if and only if $l^1(S)$ is amenable (a generalization of Leptin’s theorem) and that ${\rm A}(S)$, the Fourier algebra of $S$, is operator amenable if and only if $l^1(S)$ is amenable (a generalization of Ruan’s theorem).
DOI : 10.4064/sm8250-4-2016
Keywords: paper continues joint work medghalchi author recent work inverse semigroup nbsp shown has bounded approximate identity only amenable generalization leptin theorem fourier algebra operator amenable only amenable generalization ruan theorem

Hasan Pourmahmood-Aghababa 1

1 Department of Mathematics University of Tabriz Tabriz, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran 
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Hasan Pourmahmood-Aghababa. Amenability properties of Figà-Talamanca–Herz algebras on inverse semigroups. Studia Mathematica, Tome 233 (2016) no. 1, pp. 1-12. doi: 10.4064/sm8250-4-2016

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