We prove that for any free ergodic probability measure-preserving action F n↷(X, μ) of a free
group on n generators F n, 2≤ n≤∞, the associated group measure space II1 factor …

We prove the existence of a close connection between spaces with measured walls and
median metric spaces. We then relate properties (T) and Haagerup (aT-menability) to …

R.–Ozawa a montré dans [21] que, pour un groupe cci hyperbolique, le facteur de type II1
associé est solide. En devéloppant une nouvelle approche, qui combine les méthodes de …

arXiv:1009.0132v1 [math.GR] 1 Sep 2010 Page 1 arXiv:1009.0132v1 [math.GR] 1 Sep 2010
Orbit Equivalence and Measured Group Theory Damien Gaboriau∗ May, 2010 Abstract We …

We survey some of the progress made recently in the classification of von Neumann
algebras arising from countable groups and their measure preserving actions on probability …

We prove a “unique crossed product decomposition” result for group measure space II 1
factors L∞(X)⋊ Γ arising from arbitrary free ergodic probability measure preserving (pmp) …

We give a survey of recent classification results for von Neumann algebras arising from
measure preserving group actions on probability spaces. This includes II 1 factors with …

Abstract For $2\le p<\infty $ we show the lower estimates $$\| A^{\frac 12} x\| _p\le c
(p)\max\{\|\Gamma (x, x)^{\frac {1}{2}}\| _p,\|\Gamma (x^*, x^*)^{\frac {1}{2}}\| _p\} $$ for the …

We present a general setting to investigate 𝒰fin-cocycle superrigidity for Gaussian actions in
terms of closable derivations on von Neumann algebras. In this setting we give new proofs …

Consider a free ergodic measure-preserving profinite action Γ↷ X (ie, an inverse limit of
actions Γ↷ X n, with X n finite) of a countable property (T) group Γ (more generally, of a …