6 citations · 14 across the 18 of their papers we have counts for
11 papers · 1 filter
-finite von Neumann algebras and weakly almost periodic functions
Paul Jolissaint
Let be a von Neumann algebra which acts in a standard way on the Hilbert space , let be a subgroup of the group of all -automorphisms of . We prove that is …
Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras
Paul Jolissaint
We define a new approximation property for tracial von Neumann algebras, called \textit{weakly mixing approximation property} which, for discrete groups and II factors, is equi…
The linear $\SL_2(\Z)$-action on $\T^n$: ergodic and von Neumann algebraic aspects
Paul Jolissaint, Alain Valette
The unique irreducible representation of $\SL_2(\R)$ on induces an action, called the \textit{linear action}, of $\SL_2(\Z)$ on the torus $\T^n$ for every . For …
Almost and weakly almost periodic functions on the unitary groups of von Neumann algebras
Paul Jolissaint
Let be a von Neumann algebra acting on the Hilbert space . We prove that is finite if and only if, for every and for all vectors $…
Examples of mixing subalgebras of von Neumann algebras and their normalizers
Paul Jolissaint
We discuss different mixing properties for triples of finite von Neumann algebras , and we introduce families of triples of groups whose associated von…
On the Relative Weak Asymptotic Homomorphism Property for Triples of Groups von Neumann Algebras
Paul Jolissaint
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras and the…