Involutions on the second duals of group algebras versus subamenable groups

Ajit Iqbal Singh

Involutions on the second duals of group algebras versus subamenable groups

Ajit Iqbal Singh

Studia Mathematica (2011)

Volume: 206, Issue: 1, page 51-62
ISSN: 0039-3223

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Abstract

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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.

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Ajit Iqbal Singh. "Involutions on the second duals of group algebras versus subamenable groups." Studia Mathematica 206.1 (2011): 51-62. <http://eudml.org/doc/285712>.

@article{AjitIqbalSingh2011,
abstract = {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.},
author = {Ajit Iqbal Singh},
journal = {Studia Mathematica},
keywords = {Arens product; group algebra; involutions; second dual; Stone-Čech compactification; subamenable group},
language = {eng},
number = {1},
pages = {51-62},
title = {Involutions on the second duals of group algebras versus subamenable groups},
url = {http://eudml.org/doc/285712},
volume = {206},
year = {2011},
}

TY - JOUR
AU - Ajit Iqbal Singh
TI - Involutions on the second duals of group algebras versus subamenable groups
JO - Studia Mathematica
PY - 2011
VL - 206
IS - 1
SP - 51
EP - 62
AB - 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.
LA - eng
KW - Arens product; group algebra; involutions; second dual; Stone-Čech compactification; subamenable group
UR - http://eudml.org/doc/285712
ER -

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