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 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).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm8250-4-2016,
author = {Hasan Pourmahmood-Aghababa},
title = {Amenability properties of Fig\`a-Talamanca-Herz algebras on inverse semigroups},
journal = {Studia Mathematica},
volume = {233},
year = {2016},
pages = {1-12},
zbl = {06586864},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8250-4-2016}
}
Hasan Pourmahmood-Aghababa. Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups. Studia Mathematica, Tome 233 (2016) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8250-4-2016/