Paul Jolissaint

activity

20242026

collaborators

5 papers

math.OA2026

$G$ -finite von Neumann algebras and weakly almost periodic functions

Paul Jolissaint

Let $M$ be a von Neumann algebra which acts in a standard way on the Hilbert space $H$ , let $G$ be a subgroup of the group of all $*$ -automorphisms of $M$ . We prove that $M$ is $G$ …

math.GR2025

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 characterizations of the Haage-rup property for locally compact, second countable groups in terms of approximations of some non-ergodic invaria…

math.OA2025

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 $_{1}$ factors, is equi…

math.OA2024

Right submodules of finite rank for von Neumann dynamical systems

Paul Jolissaint

Let $(M, I ¨ , I ¨ , I^)$ be a (finite) von Neumann dynamical system and let $N$ be a $I^$ -invariant unital von Neumann subalgebra of $M$ . If $V \subset L^{2} (M)$ is a right $N$ -submodule wh…

math.RA2024

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…

G-finite von Neumann algebras and weakly almost periodic functions

The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states

Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras

Right submodules of finite rank for von Neumann dynamical systems

Interplay between the Chinese Remainder Theorem and the Lagrange Interpolation Formula

$G$ -finite von Neumann algebras and weakly almost periodic functions