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

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.

How to cite

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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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