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

Maedeh Soroushmehr  1

1 School of Mathematics, Institute for Research in Fundamental Science, Tehran, Iran
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/
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     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},
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     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a3/}
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