Involutions on the second duals of group algebras versus subamenable groups
Volume 206 / 2011
Studia Mathematica 206 (2011), 51-62
MSC: Primary 43A20, 43A22; Secondary 46K99, 54D35.
DOI: 10.4064/sm206-1-4
Abstract
Let $L^1 (G)^{\ast \ast }$ be the second dual of the group algebra $L^1(G)$ of a locally compact group $G$. We study the question of involutions on $L^1 (G)^{\ast \ast }$. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on $L^1(G)^{\ast \ast }$ for a subamenable group $G$.
