6 citations · 14 across the 18 of their papers we have counts for
20 papers
A Mean Value Property in Powers of the Natural Square
Paul Jolissaint, Kenichi Takemura
Let be an odd integer, set and let be an matrix whose coefficients are of the form where . Then we pr…
-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 …
The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states
Paul Jolissaint
The aim of the article is to provide two characterizations of the Haagerup property: one for locally compact, second countable groups, and the other one for finite von Neumann alge…
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…
Interplay between the Chinese Remainder Theorem and the Lagrange Interpolation Formula
Paul Jolissaint
We propose a proof of the Lagrange Interpolation Formula based on the Chinese Remainder Theorem for arbitrary rings. Even such relationships are known, we think that our viewpoint…
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 …