Cédric Arhancet

activity

20182026

collaborators

Showing math.OAShow all

5 papers · 1 filter

math.OA2026

Spectral versus interpolation norms in tracial nonassociative $L^{p}$ -spaces

Cédric Arhancet, Lei Li

We investigate the metric structure of nonassociative $L^{p}$ -spaces associated with tracial $JW^{*}$ -algebras. While noncommutative $L^{p}$ -spaces arising fro…

math.OA2026

On the convex structure of the space of quantum channels which act as Fourier multipliers

Cédric Arhancet, Lei Li

If $G$ is a compact group, continuous normalized positive definite functions are in one-to-one correspondence with unital quantum channels acting as Fourier multipliers on the grou…

math.OA2023

Nonassociative $L^{p}$ -spaces and embeddings in noncommutative $L^{p}$ -spaces

Cédric Arhancet

We define a notion of nonassociative $L^{p}$ -space associated to a $JBW^{*}$ -algebra (Jordan von Neumann algebra) equipped with a normal faithful state $φ$ . In the pa…

math.OA2020

A characterization of completely bounded normal Jordan $*$ -homomorphisms on von Neumann algebras

Cédric Arhancet

We characterize completely bounded normal Jordan $*$ -homomorphisms acting on von Neumann algebras. We also characterize completely positive isometries acting on noncommutative $\ma…

math.OA2019

Riesz transforms, Hodge-Dirac operators and functional calculus for multipliers I

Cédric Arhancet, Christoph Kriegler

In this work, we solve the problem explicitly stated at the end of a paper of Junge, Mei and Parcet [JEMS2018, Problem C.5] for a large class of groups including all amenable group…

Spectral versus interpolation norms in tracial nonassociative Lp-spaces

On the convex structure of the space of quantum channels which act as Fourier multipliers

Nonassociative Lp-spaces and embeddings in noncommutative Lp-spaces

A characterization of completely bounded normal Jordan ∗-homomorphisms on von Neumann algebras

Riesz transforms, Hodge-Dirac operators and functional calculus for multipliers I

Spectral versus interpolation norms in tracial nonassociative $L^{p}$ -spaces

Nonassociative $L^{p}$ -spaces and embeddings in noncommutative $L^{p}$ -spaces

A characterization of completely bounded normal Jordan $*$ -homomorphisms on von Neumann algebras