A. Marrakchi

activity

20162026

most citedFull factors and co-amenable inclusions

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

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Showing 2026 · math.OAShow all

3 papers · 2 filters

math.OA2026

The classification of flows on $II_{1}$ 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 $II_{1}$ factor up to cocycle con…

math.OA2026

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 $N \subset M$ when $N$ is AFD or when $N$ is with expectation in $M$ . In the la…

math.OA2026

Uniqueness of almost periodic outer flows on the hyperfinite type $II_{1}$ factor

Cyril Houdayer, Amine Marrakchi

We show that any almost periodic outer flow $α : R ↷ R$ on the hyperfinite type $II_{1}$ factor with Connes' spectrum $Γ (α) = R$ satisfies the…

The classification of flows on II1​ factors and Connes' bicentralizer problem

Kadison's problem and ergodicity of the bicentralizer flow and

Uniqueness of almost periodic outer flows on the hyperfinite type II1​ factor

The classification of flows on $II_{1}$ factors and Connes' bicentralizer problem

Uniqueness of almost periodic outer flows on the hyperfinite type $II_{1}$ factor