" C*-approximation theory has provided the foundation for many of the most important
conceptual breakthroughs and applications of operator algebras. This book systematically …

We consider amalgamated free product II1 factors M= M 1* BM 2* B… and use
“deformation/rigidity” and “intertwining” techniques to prove that any relatively rigid von …

We establish new results and introduce new methods in the theory of measurable orbit
equivalence, using bounded cohomology of group representations. Our rigidity statements …

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 prove that if a countable group $\Gamma $ contains infinite commuting subgroups $ H,
H'\subset\Gamma $ with $ H $ non-amenable and $ H'$“weakly normal” in $\Gamma $, then …

We introduce the notion of L 2-rigidity for von Neumann algebras, a generalization of
property (T) which can be viewed as an analogue for the vanishing of 1-cohomology into the …

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 …

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 …

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 …

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 …