467 citations
- École Normale Supérieure de LyonFR399 papers
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- Université de LyonFR25 papers
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- Lyon 1 UniversitéFR21 papers
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- Département de mathématiques et applicationsFR19 papers
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24 papers · 1 filter
Ergodic states on type III factors and ergodic actions
Amine Marrakchi, Stefaan Vaes
Since the early days of Tomita-Takesaki theory, it is known that a von Neumann algebra that admits a state with trivial centralizer must be a type III factor, but…
Spectral gap and strict outerness for actions of locally compact groups on full factors
Amine Marrakchi, Stefaan Vaes
We prove that an outer action of a locally compact group on a full factor is automatically strictly outer, meaning that the relative commutant of in the crossed product…
Evanescent affine isometric actions and weak identity excluding groups
Amine Marrakchi
We investiguate a property of affine isometric actions on Hilbert spaces called evanescence. Evanescent actions are the extreme opposite of irreducible actions. Every affine isomet…
Convergence for noncommutative rational functions evaluated in random matrices
Benoît Collins, Tobias Mai, Akihiro Miyagawa +2
One of the main applications of free probability is to show that for appropriately chosen independent copies of random matrix models, any noncommutative polynomial in these …
On the weak relative Dixmier property
Amine Marrakchi
We show that every inclusion of von Neumann algebras with a faithful normal conditional expectation has the weak relative Dixmier property. This answers a question of Popa \cite{Po…
Structure of bicentralizer algebras and inclusions of type III factors
Hiroshi Ando, Uffe Haagerup, Cyril Houdayer +1
We investigate the structure of the relative bicentralizer algebra for inclusions of von Neumann algebras with normal expectation where is a type ${\r…