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• W1980784679 abstract "We prove that for any free ergodic nonsingular nonamenable action Gamma actson (X,mu) of all Gamma in a large class of groups including all hyperbolic groups, the associated group measure space factor $L^infty(X) rtimes Gamma$ has L^infty(X) as its unique Cartan subalgebra, up to unitary conjugacy. This generalizes the probability measure preserving case that was established in [PV12]. We also prove primeness and indecomposability results for such crossed products, for the corresponding orbit equivalence relations and for arbitrary amalgamated free products $M_1 *_B M_2$ over a subalgebra B of type I." @default.
• W1980784679 created "2016-06-24" @default.
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• W1980784679 date "2012-03-06" @default.
• W1980784679 modified "2023-09-25" @default.
• W1980784679 title "Type III factors with unique Cartan decomposition" @default.
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• W1980784679 hasPublicationYear "2012" @default.
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