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 2014Show all

3 papers · 1 filter

math.OA2014★ 5 cited

Free independence in ultraproduct von Neumann algebras and applications

Cyril Houdayer, Yusuke Isono

The main result of this paper is a generalization of Popa's free independence result for subalgebras of ultraproduct $I I_{1}$ factors [Po95] to the framework of ultraproduct vo…

math.OA2014★ 20 cited

Asymptotic structure of free Araki-Woods factors

Cyril Houdayer, Sven Raum

The purpose of this paper is to investigate the structure of Shlyakhtenko's free Araki-Woods factors using the framework of ultraproduct von Neumann algebras. We first prove that a…

math.OA2014★ 13 cited

Gamma stability in free product von Neumann algebras

Cyril Houdayer

Let $(M, φ) = (M_{1}, φ_{1}) * (M_{2}, φ_{2})$ be a free product of arbitrary von Neumann algebras endowed with faithful normal states. Assume that the centralizer $M_{1}^{φ_{1}}$ is diffus…