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
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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
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     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/}
}
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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/