A. Valette

activity

20242026

collaborators

4 papers

math.MG2026

On the transportation cost norm on finite metric graphs

Georges Skandalis, Alain Valette

For a finite metric graph $X = (V, E, ℓ)$ , where $V$ is endowed with the shortest path metric, we consider the transportation cost problem associated with the distance $d$ on $V$ . N…

math.KT2025

Rieffel projections and 2-by-2 matrices

Olivier Isely, Alain Valette

For a compact space $Y$ , we view $C (Y \times S^{1})$ as the crossed product $C (Y) ⋊ Z$ , with $Z$ acting trivially. This allows us to study Rieffel projections in…

math.DS2024

Amenable actions of real and $p$ -adic algebraic groups

Alain J. Valette

Let $K$ be a locally compact field of characteristic 0. Let $G$ be a linear algebraic group defined over $K$ , acting algebraically on an algebraic variety $V$ . We prove that the ac…

math.OA2024

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 $R^{n}$ induces an action, called the \textit{linear action}, of $\SL_2(\Z)$ on the torus $\T^n$ for every $n \geq 2$ . For $n$ …

On the transportation cost norm on finite metric graphs

Rieffel projections and 2-by-2 matrices

Amenable actions of real and p-adic algebraic groups

The linear $\SL_2(\Z)$-action on $\T^n$: ergodic and von Neumann algebraic aspects

Amenable actions of real and $p$ -adic algebraic groups