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

• Autorzy: Hasan Pourmahmood-Aghababa
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 20M18: Inverse semigroups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 233
• Numer: 1
• Strony: 1-12

Daty

wydano

2016

Twórcy

autor

Hasan Pourmahmood-Aghababa

• Department of Mathematics, University of Tabriz, Tabriz, Iran
• School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

Identyfikatory

DOI

10.4064/sm8250-4-2016