Pseudo-contractibility and pseudo-amenability of semigroup algebras

被引：0
作者：
M. Essmaili
M. Rostami
A. R. Medghalchi
机构：
[1] Tarbiat Moallem University,Faculty of Mathematical and Computer Science
[2] Amirkabir University of Technology,Faculty of Mathematical and Computer Science
来源：
Archiv der Mathematik | 2011年 / 97卷
关键词：
Primary 43A20; 20M18; Secondary 16E40; Pseudo-contractibility; Pseudo-amenability; Semigroup algebras; Inverse semigroup; Brandt semigroup;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we characterize pseudo-contractibility of ℓ1(S), where S is a uniformly locally finite inverse semigroup. As a consequence, we show that for a Brandt semigroup \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${S={\mathcal{M}}^{0}(G,I),}$$\end{document} the semigroup algebra ℓ1(S) is pseudo-contractible if and only if G and I are finite. Moreover, we study the notions of pseudo-amenability and pseudo-contractibility of a semigroup algebra ℓ1(S) in terms of the amenability of S.
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页码：167 / 177
页数：10
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