Cyril Houdayer

activity

20062026

most citedApproximation properties and absence of Cartan subalgebra for free Araki-Woods factors

58 citations · 599 across the 43 of their papers we have counts for

collaborators

Showing 2015Show all

5 papers · 1 filter

math.OA2015★ 17 cited

Strong solidity of free Araki-Woods factors

Rémi Boutonnet, Cyril Houdayer, Stefaan Vaes

We show that Shlyakhtenko's free Araki-Woods factors are strongly solid, meaning that for any diffuse amenable von Neumann subalgebra that is the range of a normal conditional expe…

math.OA2015★ 15 cited

Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence

Cyril Houdayer, Yusuke Isono

We investigate the asymptotic structure of (possibly type III) crossed product von Neumann algebras $M = B ⋊ Γ$ arising from arbitrary actions $Γ ↷ B$ of bi-exa…

math.OA2015★ 17 cited

Rigidity of free product von Neumann algebras

Cyril Houdayer, Yoshimichi Ueda

Let $I$ be any nonempty set and $(M_{i}, φ_{i})_{i \in I}$ any family of nonamenable factors, endowed with arbitrary faithful normal states, that belong to a large class $\mathcal C_{\…

math.OA2015★ 23 cited

Asymptotic structure of free product von Neumann algebras

Cyril Houdayer, Yoshimichi Ueda

Let $(M, φ) = (M_{1}, φ_{1}) * (M_{2}, φ_{2})$ be the free product of any $σ$ -finite von Neumann algebras endowed with any faithful normal states. We show that whenever $Q \subset M$ is…

math.OA2015★ 54 cited

Unique prime factorization and bicentralizer problem for a class of type III factors

Cyril Houdayer, Yusuke Isono

We show that whenever $m \geq 1$ and $M_{1}, \dots, M_{m}$ are nonamenable factors in a large class of von Neumann algebras that we call $C_{(AO)}$ and which contains a…