16 citations · 21 across the 5 of their papers we have counts for
6 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…
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…
Weyl groups and rigidity of von Neumann algebras
Cyril Houdayer, Adrian Ioana
Let be a noncompact semisimple algebraic group with trivial center, a maximal split torus, the centralizer of in and an irreducible lattice. Cons…
Strong primeness for equivalence relations arising from Zariski dense subgroups
Daniel Drimbe, Cyril Houdayer
We show that orbit equivalence relations arising from essentially free ergodic probability measure preserving actions of Zariski dense discrete subgroups of simple algebraic groups…
Asymptotic freeness in tracial ultraproducts
Cyril Houdayer, Adrian Ioana
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever is a tracial free product von Neuma…
Structural results for free Araki-Woods factors and their continuous cores
Cyril Houdayer
We show that for any type free Araki-Woods factor associated with an orthogonal representation of on a separable real Hilbe…