10 citations · 72 across the 21 of their papers we have counts for
26 papers
The classification of flows on factors and Connes' bicentralizer problem
Cyril Houdayer, Amine Marrakchi
We solve two long-standing open problems in von Neumann algebras. First, we classify all flows with full Connes spectrum on the hyperfinite factor up to cocycle con…
Quantum steering is equivalent to state-preserving conditional expectations
Lauritz van Luijk, Amine Marrakchi, Tobias Osborne +2
In systems with infinitely many degrees of freedom, fundamental results from quantum information theory can fail. An important example is the uniqueness of purifications: Even when…
Kadison's problem and ergodicity of the bicentralizer flow and
Amine Marrakchi
We solve Kadison's problem on the existence of maximal abelian subalgebras in irreducible subfactors when is AFD or when is with expectation in . In the la…
Uniqueness of almost periodic outer flows on the hyperfinite type factor
Cyril Houdayer, Amine Marrakchi
We show that any almost periodic outer flow on the hyperfinite type factor with Connes' spectrum satisfies the…
Selfless W-probability spaces and Connes' bicentralizer problem
Cyril Houdayer, Amine Marrakchi
We introduce the notion of selfless W-probability space and study its connection with Connes' bicentralizer problem. In particular, we show that if is a separable type ${\r…
Almost almost periodic type factors and their 3-cohomology obstructions
Amine Marrakchi
We construct an exemple of a full factor such that its canonical outer modular flow is almost periodic but has no almost peri…