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38
On cocycle superrigidity for gaussian actions
 Ergodic Theory and Dynamical Systems
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EXAMPLES OF STRONGLY SOLID GROUP FACTORS WHICH ARE NOT ISOMORPHIC TO L(Ft)
, 2009
"... We give examples of nonamenable ICC groups Γ with the Haagerup property, weakly amenable with constant Λcb(Γ) = 1, for which we show that the associated II1 factors L(Γ) are strongly solid, i.e. the normalizer of any diffuse amenable subalgebra P ⊂ L(Γ) generates an amenable von Neumann algebra. ..."
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Cited by 13 (4 self)
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We give examples of nonamenable ICC groups Γ with the Haagerup property, weakly amenable with constant Λcb(Γ) = 1, for which we show that the associated II1 factors L(Γ) are strongly solid, i.e. the normalizer of any diffuse amenable subalgebra P ⊂ L(Γ) generates an amenable von Neumann algebra. Nevertheless, for these examples of groups Γ, L(Γ) is not isomorphic to any interpolated free group factor L(Ft), for 1 < t ≤ ∞.
A cohomological description of property (T) for quantum groups
 J. Funct. Anal
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Nilpotent completions of groups, Grothendieck Pairs and four problems of Baumslag
, 2013
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Prime factors and amalgamated free products
, 2008
"... Abstract. We prove that any nonamenable factor arising as an amalgamated free product of von Neumann algebras M1 ∗B M2 over an abelian von Neumann algebra B, is prime, i.e. cannot be written as a tensor product of diffuse factors. We obtain, both in the type II1 and in the type III case, new exampl ..."
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Cited by 6 (2 self)
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Abstract. We prove that any nonamenable factor arising as an amalgamated free product of von Neumann algebras M1 ∗B M2 over an abelian von Neumann algebra B, is prime, i.e. cannot be written as a tensor product of diffuse factors. We obtain, both in the type II1 and in the type III case, new examples of prime factors. We moreover discuss some consequences in orbit equivalence. Our proofs rely on Popa’s deformation/spectral gap rigidity argument. 1.
Uniqueness of the group measure space decomposition for Popa’s HT factors
, 2012
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Compact actions and uniqueness of the group measure space decomposition of II1 factors
 J. Funct. Anal
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