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- W4320858529 abstract "We say that a countable discrete group $Gamma$ satisfies the invariant von Neumann subalgebras rigidity (ISR) property if every $Gamma$- invariant von Neumann subalgebra $mathcal{M}$ in $L(Gamma)$ is of the form $L(Lambda)$ for some normal subgroup $Lambdalhd Gamma$. We show many ``negatively curved groups, including all torsion free non-amenable hyperbolic groups and torsion free groups with positive first $L^2$-Betti number under a mild assumption, and certain finite direct product of them have this property. We also discuss whether the torsion-free assumption can be relaxed." @default.
- W4320858529 created "2023-02-16" @default.
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- W4320858529 date "2022-05-21" @default.
- W4320858529 modified "2023-10-17" @default.
- W4320858529 title "On invariant von Neumann subalgebras rigidity property" @default.
- W4320858529 doi "https://doi.org/10.48550/arxiv.2205.10700" @default.
- W4320858529 hasPublicationYear "2022" @default.
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