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Amenability properties of Figà-Talamanca–Herz algebras on inverse semigroups

Tom 233 / 2016

Hasan Pourmahmood-Aghababa Studia Mathematica 233 (2016), 1-12 MSC: Primary 43A15; Secondary 20M18. DOI: 10.4064/sm8250-4-2016 Opublikowany online: 5 May 2016

Streszczenie

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).

Autorzy

  • Hasan Pourmahmood-AghababaDepartment 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
    e-mail
    e-mail

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