Weak regularity of group algebras

被引：1

作者：

Esslamzadeh, G. H. ^{[1
]}

Fouladi, M. ^{[1
]}

机构：

[1] Shiraz Univ, Dept Math, Shiraz 71454, Iran

来源：

SEMIGROUP FORUM | 2018年 / 97卷 / 02期

关键词：

Weakly regular; Group algebra; Unimodular group; Integrable representation; BANACH-ALGEBRAS; SEMIGROUPS;

D O I：

10.1007/s00233-018-9963-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Banach algebra A is called weakly regular if its multiplicative semigroup is Einversive. We show that for a unimodular group G which admits an integrable unitary representation, L-1(G) is weakly regular. Moreover for a locally compact Abelian group, L-1(G) is weakly regular if and only if G is compact; while L-1(G) ** is weakly regular if and only if G is finite. All of our results hold, if we replace L-1(G) with M(G).

引用

页码：223 / 228

页数：6

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