29 citations · 161 across the 16 of their papers we have counts for
20 papers
Non-isomorphism of , for a non-separable abelian von Neumann algebra
Rémi Boutonnet, Daniel Drimbe, Adrian Ioana +1
We prove that if is a non-separable abelian tracial von Neuman algebra then its free powers , are mutually non-isomorphic and with trivial fundamen…
Maximal amenable MASAs of radial type in the free group factors
Remi Boutonnet, Sorin Popa
We prove that if are tracial von Neumann algebras, are selfadjoint semicircular elements and is a square summable -tuple of r…
The noncommutative factor theorem for lattices in product groups
Rémi Boutonnet, Cyril Houdayer
We prove a noncommutative Bader-Shalom factor theorem for lattices with dense projections in product groups. As an application of this result and our previous works, we obtain a no…
Infinite characters of type II on
Rémi Boutonnet
We construct uncountably many infinite characters of type II for , .
Charmenability of higher rank arithmetic groups
Uri Bader, Rémi Boutonnet, Cyril Houdayer
We complete the study of characters on higher rank semisimple lattices initiated in [BH19,BBHP20], the missing case being the case of lattices in higher rank simple algebraic group…
Charmenability of arithmetic groups of product type
Uri Bader, Rémi Boutonnet, Cyril Houdayer +1
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing…
Stationary characters on lattices of semisimple Lie groups
Rémi Boutonnet, Cyril Houdayer
We show that stationary characters on irreducible lattices of higher-rank connected semisimple Lie groups are conjugation invariant, that is, they are genuine characters. Th…
Properly proximal groups and their von Neumann algebras
Rémi Boutonnet, Adrian Ioana, Jesse Peterson
We introduce a wide class of countable groups, called properly proximal, which contains all non-amenable bi-exact groups, all non-elementary convergence groups, and all lattices in…
Local spectral gap in the group of Euclidean isometries
Rémi Boutonnet, Adrian Ioana
We provide new examples of translation actions on locally compact groups with the "local spectral gap property" introduced in \cite{BISG15}. This property has applications to stron…
Crossed-products by locally compact groups: Intermediate subfactors
Rémi Boutonnet, Arnaud Brothier
We study actions of locally compact groups on von Neumann factors and the associated crossed-product von Neumann algebras. In the setting of totally disconnected groups we provide…
Amenable absorption in amalgamated free product von Neumann algebras
Rémi Boutonnet, Cyril Houdayer
We investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras . Our main result states that under natural analy…
Structure of modular invariant subalgebras in free Araki-Woods factors
Rémi Boutonnet, Cyril Houdayer
We show that any amenable von Neumann subalgebra of any free Araki-Woods factor that is globally invariant under the modular automorphism group of the free quasi-free state is nece…
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…
II_1 factors with non-isomorphic ultrapowers
Rémi Boutonnet, Ionut Chifan, Adrian Ioana
We prove that there exist uncountably many separable II factors whose ultrapowers (with respect to arbitrary ultrafilters) are non-isomorphic. In fact, we prove that the famili…
Local spectral gap in simple Lie groups and applications
Rémi Boutonnet, Adrian Ioana, Alireza Salehi Golsefidy
We introduce a novel notion of {\it local spectral gap} for general, possibly infinite, measure preserving actions. We establish local spectral gap for the left translation action…
Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups
Rémi Boutonnet, Alessandro Carderi
We provide a general criterion to deduce maximal amenability of von Neumann subalgebras arising from amenable subgroups of discrete countable groups . The cri…
Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups
Rémi Boutonnet, Alessandro Carderi
We prove that for any infinite, maximal amenable subgroup in a hyperbolic group , the von Neumann subalgebra is maximal amenable inside . It provides many new, expl…
Amalgamated free product type III factors with at most one Cartan subalgebra
Rémi Boutonnet, Cyril Houdayer, Sven Raum
We investigate Cartan subalgebras in nontracial amalgamated free product von Neumann algebras over an amenable von Neumann subalgebra . First, we settle the pro…
W*-superrigidity of mixing Gaussian actions of rigid groups
Rémi Boutonnet
We generalize W*-superrigidity results about Bernoulli actions of rigid groups to general mixing Gaussian actions. We thus obtain the following: If Γ is any ICC group which is w-ri…
On solid ergodicity for Gaussian actions
Rémi Boutonnet
We investigate Gaussian actions through the study of their crossed-product von Neumann algebra. The motivational result is Chifan and Ioana's ergodic decomposition theorem for Bern…