A. Marrakchi

activity

20162026

most citedFull factors and co-amenable inclusions

10 citations · 72 across the 21 of their papers we have counts for

collaborators

Showing 2023 · math.OAShow all

3 papers · 2 filters

math.OA2023

Kadison's problem for type III subfactors and the bicentralizer conjecture

Amine Marrakchi

In 1967, Kadison asked "if $N$ is a subfactor of the factor $M$ for which $N^{'} \cap M$ consists of scalars, will some maximal abelian *-subalgebra of $N$ be a maximal abelian subalg…

math.OA2023

Almost synchronous correlations and Tomita-Takesaki theory

Amine Marrakchi, Mikael de la Salle

The aim of this note is to present a ``type III'' generalization of a distribution lemma of Connes. We then derive, following Vidick, consequences on infinite-dimensional quantum s…

math.OA2023★ 4 cited

Ergodic states on type III $_{1}$ factors and ergodic actions

Amine Marrakchi, Stefaan Vaes

Since the early days of Tomita-Takesaki theory, it is known that a von Neumann algebra $M$ that admits a state $φ$ with trivial centralizer $M_{φ}$ must be a type III $_{1}$ factor, but…

Kadison's problem for type III subfactors and the bicentralizer conjecture

Almost synchronous correlations and Tomita-Takesaki theory

Ergodic states on type III1​ factors and ergodic actions

Ergodic states on type III $_{1}$ factors and ergodic actions