Involutions on the second duals of group algebras
versus subamenable groups
Studia Mathematica, Tome 206 (2011) no. 1, pp. 51-62
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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 $G$.
Keywords:
ast ast second dual group algebra locally compact group study question involutions ast ast class subamenable groups introduced which universal groups there involution ast ast subamenable group
Affiliations des auteurs :
Ajit Iqbal Singh 1
@article{10_4064_sm206_1_4,
author = {Ajit Iqbal Singh},
title = {Involutions on the second duals of group algebras
versus subamenable groups},
journal = {Studia Mathematica},
pages = {51--62},
year = {2011},
volume = {206},
number = {1},
doi = {10.4064/sm206-1-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm206-1-4/}
}
Ajit Iqbal Singh. Involutions on the second duals of group algebras versus subamenable groups. Studia Mathematica, Tome 206 (2011) no. 1, pp. 51-62. doi: 10.4064/sm206-1-4
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