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- W2991152557 endingPage "108419" @default.
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- W2991152557 abstract "We show that any infinite collection (Γn)n∈N of icc, hyperbolic, property (T) groups satisfies the following von Neumann algebraic infinite product rigidity phenomenon. If Λ is an arbitrary group such that L(⊕n∈NΓn)≅L(Λ) then there exists an infinite direct sum decomposition Λ=(⊕n∈NΛn)⊕A with A icc amenable or trivial such that, for all n∈N, up to amplifications, we have L(Γn)≅L(Λn) and L(⊕k≥nΓk)≅L((⊕k≥nΛk)⊕A). The result is sharp and complements the previous finite product rigidity property found in [16]. Using this we provide an uncountable family of restricted wreath products Γ≅Σ≀Δ of icc, property (T) groups Σ, Δ whose wreath product structure is recognizable, up to a normal amenable subgroup, from their von Neumann algebras L(Γ). Along the way we highlight several applications of these results to the study of rigidity in the C⁎-algebra setting." @default.
- W2991152557 created "2019-12-05" @default.
- W2991152557 creator A5065917902 @default.
- W2991152557 creator A5068717130 @default.
- W2991152557 date "2020-04-01" @default.
- W2991152557 modified "2023-09-25" @default.
- W2991152557 title "Some rigidity results for II1 factors arising from wreath products of property (T) groups" @default.
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- W2991152557 doi "https://doi.org/10.1016/j.jfa.2019.108419" @default.
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