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• W1953126322 abstract "We show that if $${Gamma = Gamma_1timesdotsbtimes Gamma_n}$$ is a product of $${{rm n} geq 2}$$ non-elementary ICC hyperbolic groups then any discrete group $${Lambda}$$ which is $${W^*}$$ -equivalent to $${Gamma}$$ decomposes as a direct product of n ICC groups and does not decompose as a direct product of k ICC groups when $${{rm n} not= {rm k}}$$ . This gives a group-level strengthening of Ozawa and Popa’s unique prime decomposition theorem by removing all assumptions on the group $${Lambda}$$ . This result in combination with Margulis’ normal subgroup theorem allows us to give examples of lattices in the same Lie group which do not generate stably equivalent II1 factors." @default.
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• W1953126322 date "2016-02-01" @default.
• W1953126322 modified "2023-10-14" @default.
• W1953126322 title "W*-rigidity for the von Neumann algebras of products of hyperbolic groups" @default.
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• W1953126322 doi "https://doi.org/10.1007/s00039-016-0361-z" @default.
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