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

- Cyril Houdayer, É. Ricard
- Mathematics
- 18 June 2010

Strongly Solid II1 Factors with an Exotic MASA

- Cyril Houdayer, D. Shlyakhtenko
- Mathematics
- 10 June 2010

Using an extension of techniques of Ozawa and Popa, we give an example of a non-amenable strongly solid II 1 factor M containing an “exotic” maximal abelian subalgebra A: as an A,A-bimodule, L 2 (M)… Expand

On Some Free Products of Von Neumann Algebras which are Free Araki–Woods Factors

- Cyril Houdayer
- Mathematics
- 12 June 2006

We prove that certain free products of factors of type I and other von Neumann algebras with respect to nontracial, almost periodic states are almost periodic free Araki–Woods factors. In particular,… Expand

Bass-Serre rigidity results in von Neumann algebras

- Ionut Chifan, Cyril Houdayer
- Mathematics
- 11 May 2008

We obtain new Bass-Serre type rigidity results for ${\rm II_1}$ equivalence relations and their von Neumann algebras, coming from free ergodic actions of free products of groups on the standard… Expand

Gamma Stability in Free Product von Neumann Algebras

- Cyril Houdayer
- Mathematics
- 17 March 2014

Let $${(M, \varphi) = (M_1, \varphi_1) * (M_2, \varphi_2)}$$(M,φ)=(M1,φ1)∗(M2,φ2) be a free product of arbitrary von Neumann algebras endowed with faithful normal states. Assume that the centralizer… Expand

Strongly solid group factors which are not interpolated free group factors

- Cyril Houdayer
- Mathematics
- 25 January 2009

We give examples of non-amenable infinite conjugacy classes groups Γ with the Haagerup property, weakly amenable with constant Λcb(Γ) = 1, for which we show that the associated II1 factors L(Γ) are… Expand

Stationary characters on lattices of semisimple Lie groups

- R. Boutonnet, Cyril Houdayer
- Mathematics
- 21 August 2019

We show that stationary characters on irreducible lattices Γ < G $\Gamma < G$ of higher-rank connected semisimple Lie groups are conjugation invariant, that is, they are genuine characters. This… Expand

A class of groups for which every action is W$^*$-superrigid

- Cyril Houdayer, S. Popa, S. Vaes
- Mathematics
- 25 October 2010

We prove the uniqueness of the group measure space Cartan subalgebra in crossed products A \rtimes \Gamma covering certain cases where \Gamma is an amalgamated free product over a non-amenable… Expand

Amalgamated free product type III factors with at most one Cartan subalgebra

- R. Boutonnet, Cyril Houdayer, Sven Raum
- MathematicsCompositio Mathematica
- 20 December 2012

Abstract We investigate Cartan subalgebras in nontracial amalgamated free product von Neumann algebras ${\mathop{M{}_{1} \ast }\nolimits}_{B} {M}_{2} $ over an amenable von Neumann subalgebra $B$.… Expand

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