抄録< jats: p> Property (T) is a rigidity property for topological groups, first formulated by D.
Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are …

We investigate unimodular random networks. Our motivations include their characterization
via reversibility of an associated random walk and their similarities to unimodular quasi …

We prove that a type II₁ factor M can have at most one Cartan subalgebra A satisfying a
combination of rigidity and compact approximation properties. We use this result to show …

INVARIANTS l2 DE RELATIONS D’ÉQUIVALENCE ET DE GROUPES Page 1 INVARIANTS l2
DE RELATIONS D’ÉQUIVALENCE ET DE GROUPES par DAMIEN GABORIAU 0. Introduction …

We consider crossed product II 1 factors M=NσG, with G discrete ICC groups that contain
infinite normal subgroups with the relative property (T) and σ trace preserving actions of G …

There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

Based on numerical results it is conjectured that the spectral statistics of certain
pseudointegrable billiards have a special form similar to that of the Anderson model at the …

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 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 …