Journal of Lie Theory

no. 4
Applications of Lie Theory to Daws' Conjecture on Ultrapowers of Locally Compact Group Algebras
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.1203
Classification: 46B08, 22E46, 22E20, 46H05, 22D15
Keywords: Locally compact group, Lie group, semisimple Lie group, ultrapower, group algebra 
@article{JOLT_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},
     doi = {10.5802/jolt.1203},
     zbl = {1493.46017},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1203/}
}
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M. Soroushmehr. Applications of Lie Theory to Daws' Conjecture on Ultrapowers of Locally Compact Group Algebras. Journal of Lie Theory, Volume 31 (2021) no. 4, pp. 969-974. doi: 10.5802/jolt.1203

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