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
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
@article{JLT_2021_31_4_JLT_2021_31_4_a3,
author = {M. 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/JLT_2021_31_4_JLT_2021_31_4_a3/}
}
TY - JOUR AU - M. Soroushmehr TI - Applications of Lie Theory to Daws' Conjecture on Ultrapowers of Locally Compact Group Algebras JO - Journal of Lie theory PY - 2021 SP - 969 EP - 974 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/item/JLT_2021_31_4_JLT_2021_31_4_a3/ ID - JLT_2021_31_4_JLT_2021_31_4_a3 ER -
M. 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/JLT_2021_31_4_JLT_2021_31_4_a3/