Pseudo-contractibility and pseudo-amenability of semigroup algebras

被引：17

作者：

Essmaili, M. ^{[1
]}

Rostami, M. ^{[2
]}

Medghalchi, A. R. ^{[1
]}

机构：

[1] Tarbiat Moallem Univ, Fac Math & Comp Sci, Tehran 15618, Iran

[2] Amir Kabir Univ Technol, Fac Math & Comp Sci, Tehran 15914, Iran

来源：

ARCHIV DER MATHEMATIK | 2011年 / 97卷 / 02期

关键词：

Pseudo-contractibility; Pseudo-amenability; Semigroup algebras; Inverse semigroup; Brandt semigroup; BANACH-ALGEBRAS; APPROXIMATE;

D O I：

10.1007/s00013-011-0289-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize pseudo-contractibility of l(1)(S), where S is a uniformly locally finite inverse semigroup. As a consequence, we show that for a Brandt semigroup S = M(0)(G, I), the semigroup algebra l(1)(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 l(1)(S) in terms of the amenability of S.

引用

页码：167 / 177

页数：11

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