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- W2070660306 abstract "In [M. Berbec and S. Vaes, W*-superrigidity for group von Neumann algebras of left–right wreath products, Proc. London Math. Soc.108 (2014) 1116–1152] we have proven that, for all hyperbolic groups and for all nontrivial free products Γ, the left–right wreath product group 𝒢 ≔ (ℤ/2ℤ) (Γ) ⋊ (Γ × Γ) is W*-superrigid, in the sense that its group von Neumann algebra L𝒢 completely remembers the group 𝒢. In this paper, we extend this result to other classes of countable groups. More precisely, we prove that for weakly amenable groups Γ having positive first ℓ 2 -Betti number, the same wreath product group 𝒢 is W*-superrigid." @default.
- W2070660306 created "2016-06-24" @default.
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- W2070660306 date "2015-01-01" @default.
- W2070660306 modified "2023-09-25" @default.
- W2070660306 title "W*-superrigidity for wreath products with groups having positive first ℓ<sup>2</sup>-Betti number" @default.
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- W2070660306 doi "https://doi.org/10.1142/s0129167x15500032" @default.
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