Applications of Lie Theory to Daws' Conjecture on Ultrapowers of Locally Compact Group Algebras
Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 969-974
Voir la notice de l'article provenant de la source Heldermann Verlag
Focusing on the fact that a locally compact group G may be approximated by Lie groups, we show that for a given locally compact group G, L1(G) is ultra-amenable if and only if G is finite. Thus we answer a question raised by M. Daws in 2009.
Classification :
46B08, 22E46, 22E20, 46H05, 22D15
Mots-clés : Locally compact group, Lie group, semisimple Lie group, ultrapower, group algebra
Mots-clés : Locally compact group, Lie group, semisimple Lie group, ultrapower, group algebra
Affiliations des auteurs :
Maedeh Soroushmehr  1
Maedeh Soroushmehr. Applications of Lie Theory to Daws' Conjecture on Ultrapowers of Locally Compact Group Algebras. Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 969-974. http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a3/
@article{JOLT_2021_31_4_a3,
author = {Maedeh Soroushmehr},
title = {Applications of {Lie} {Theory} to {Daws'} {Conjecture} on {Ultrapowers} of {Locally} {Compact} {Group} {Algebras}},
journal = {Journal of Lie Theory},
pages = {969--974},
year = {2021},
volume = {31},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a3/}
}