Module amenability for semigroup algebras

被引：75

作者：

Amini, M

机构：

[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada

[2] Tarbiat Modarres Univ, Dept Math, Tehran, Iran

来源：

SEMIGROUP FORUM | 2004年 / 69卷 / 02期

关键词：

amenability; module amenability; semigroup algebras;

D O I：

10.1007/s00233-004-0107-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the concept of amenability of a Banach algebra A to the case that there is an extra U-module structure on A, and show that when S is an inverse semigroup with subsemigroup E of idempotents, then A = l(1)(S) as a Banach module over U = l(1)(E) is module amenable if and only if S is amenable. When S is a discrete group, l(1) (E) = C and this is just the Johnson's theorem.

引用

页码：243 / 254

页数：12

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