Charles Duquet

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

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math.OA2024★ 3 cited

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.OA2023

A characterization of absolutely dilatable Schur multipliers

Charles Duquet, Christian Le Merdy

Let $M$ be a von Neumann algebra equipped with a normal semi-finite faithful trace (nsf trace in short) and let $T : M \to M$ be a contraction. We say that $T$ is absolutely dil…