C. le Merdy

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math.OA2026

A Non-commutative Individual Ergodic Theorem Along Sparse Random Subsequences

Léonard Cadilhac, Christian Le Merdy, Safoura Zadeh

Let $(M, τ)$ be a semifinite von Neumann algebra, let $J$ be a trace-preserving Jordan isomorphism, and let $(n_{k})_{k \geq 1}$ be a random increasing sequence of integers obtained by…

math.OA2024

Absolute dilations of ucp self-adjoint Fourier multipliers: the non unimodular case

Charles Duquet, Christian Le Merdy

Let $φ$ be a normal semi-finite faithful weight on a von Neumann algebra $A$ ,let $(σ_{r}^{φ})_{r \in R}$ denote the modular automorphism group of $φ$ , and let $T : A \to A$ …

math.OA2024

On the extension of positive maps to Haagerup non-commutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $M$ be a von Neumann algebra, let $φ$ be a normal faithful state on $M$ and let $L^{p} (M, φ)$ be the associated Haagerup non-commutative $L^{p}$ -spaces, for $1 \leq p \leq \infty$ . Let…

A Non-commutative Individual Ergodic Theorem Along Sparse Random Subsequences

Absolute dilations of ucp self-adjoint Fourier multipliers: the non unimodular case

On the extension of positive maps to Haagerup non-commutative Lp-spaces

On the extension of positive maps to Haagerup non-commutative $L^{p}$ -spaces