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

Hasan Pourmahmood-Aghababa. "Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups." Studia Mathematica 233.1 (2016): 1-12. <http://eudml.org/doc/286168>.

@article{HasanPourmahmood2016,
abstract = {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).},
author = {Hasan Pourmahmood-Aghababa},
journal = {Studia Mathematica},
keywords = {Figa-Talamanca-Herz algebras; amenability; semigroup algebras},
language = {eng},
number = {1},
pages = {1-12},
title = {Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups},
url = {http://eudml.org/doc/286168},
volume = {233},
year = {2016},
}

TY - JOUR
AU - Hasan Pourmahmood-Aghababa
TI - Amenability properties of Figà-Talamanca-Herz algebras on inverse semigroups
JO - Studia Mathematica
PY - 2016
VL - 233
IS - 1
SP - 1
EP - 12
AB - 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).
LA - eng
KW - Figa-Talamanca-Herz algebras; amenability; semigroup algebras
UR - http://eudml.org/doc/286168
ER -