We present some recent rigidity results for von Neumann algebras (II1 factors) and
equivalence relations arising from measure preserving actions of groups on probability …

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 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 …

Consider a countable group Γ acting ergodically by measure preserving transformations on
a probability space (X, μ), and let RΓ be the corresponding orbit equivalence relation on X …

We prove that any isomorphism θ: M 0≃ M of group measure space II 1 factors,
M_0=L^∞(X_0,\mu_0)\sigma_0G_0, M=L^∞(X,μ)σG, with G 0 an ICC group containing an …

Suppose that a countable group G acts freely and ergodically on the standard probability
space (X, µ) preserving the probability measure µ. We are interested in several types of …

Abstract We obtain new Bass-Serre-type rigidity results for II 1 equivalence relations and
their von Neumann algebras, coming from free ergodic actions of free products of groups on …

We prove that if a countable discrete group Γ is w-rigid, ie it contains an infinite normal
subgroup H with the relative property (T)(eg Γ=SL(2,Z)\ltimesZ^2, or Γ= H× H'with H an …

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 show that if G is a discrete group which does not have the Haagerup property but does
have an unbounded cocycle into a C_0 representation and if G acts on a finite von …