Involutions on the second duals of group algebras versus subamenable groups

被引：3
作者：
Singh, Ajit Iqbal [1 ]
机构：
[1] Indian Stat Inst, Theoret Stat & Math Unit, New Delhi 110016, India
来源：
STUDIA MATHEMATICA | 2011年 / 206卷 / 01期
关键词：
Arens product; group algebra; involutions; second dual; Stone-Cech compactification; subamenable group; RIGHT CANCELLATION; IDEALS; MULTIPLICATION;
D O I：
10.4064/sm206-1-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L-1(G)** be the second dual of the group algebra L-1(G) of a locally compact group G. We study the question of involutions on L-1(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L-1(G)** for a subamenable group G.
引用
收藏
页码：51 / 62
页数：12
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