Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-1-4,
author = {Ajit Iqbal Singh},
title = {Involutions on the second duals of group algebras versus subamenable groups},
journal = {Studia Mathematica},
volume = {204},
year = {2011},
pages = {51-62},
zbl = {1238.43002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-1-4}
}
Ajit Iqbal Singh. Involutions on the second duals of group algebras versus subamenable groups. Studia Mathematica, Tome 204 (2011) pp. 51-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-1-4/