58 citations · 599 across the 43 of their papers we have counts for
5 papers · 1 filter
Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras
Cyril Houdayer, Sven Raum
We address the problem to characterise closed type I subgroups of the automorphism group of a tree. Even in the well-studied case of Burger-Mozes' universal groups, non-type I crit…
Fullness and Connes' invariant of type III tensor product factors
Cyril Houdayer, Amine Marrakchi, Peter Verraedt
We show that the tensor product of any two full factors and (possibly of type ) is full and we compute Connes' invariant $τ(M…
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…
Optimal quantizers for a nonuniform distribution on a Sierpinski carpet
Mrinal Kanti Roychowdhury
The purpose of quantization for a probability distribution is to estimate the probability by a discrete probability with finite support. In this paper, a nonuniform probability mea…
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…