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• W4308201282 abstract "Abstract Given an irreducible lattice $Gamma $ in the product of higher rank simple Lie groups, we prove a co-finiteness result for the $Gamma $ -invariant von Neumann subalgebras of the group von Neumann algebra $mathcal {L}(Gamma )$ , and for the $Gamma $ -invariant unital $C^*$ -subalgebras of the reduced group $C^*$ -algebra $C^*_{mathrm {red}}(Gamma )$ . We use these results to show that: (i) every $Gamma $ -invariant von Neumann subalgebra of $mathcal {L}(Gamma )$ is generated by a normal subgroup; and (ii) given a weakly mixing unitary representation $pi $ of $Gamma $ , every $Gamma $ -equivariant conditional expectation on $C^*_pi (Gamma )$ is the canonical conditional expectation onto the $C^*$ -subalgebra generated by a normal subgroup." @default.
• W4308201282 created "2022-11-09" @default.
• W4308201282 creator A5052545235 @default.
• W4308201282 creator A5057606372 @default.
• W4308201282 date "2022-11-04" @default.
• W4308201282 modified "2023-10-18" @default.
• W4308201282 title "On invariant subalgebras of group and von Neumann algebras" @default.
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• W4308201282 doi "https://doi.org/10.1017/etds.2022.76" @default.
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