6 papers
Weyl groups and rigidity of von Neumann algebras
Cyril Houdayer, Adrian Ioana
Let be a noncompact semisimple algebraic group with trivial center, a maximal split torus, the centralizer of in and an irreducible lattice. Con…
Wreath-like products of groups and their von Neumann algebras III: Embeddings
Ionut Chifan, Adrian Ioana, Denis Osin +1
For a class of wreath-like product groups with property (T), we describe explicitly all the embeddings between their von Neumann algebras. This allows us to provide a continuum of…
Rigidity for graph product von Neumann algebras
Camille Horbez, Adrian Ioana
We establish rigidity theorems for graph product von Neumann algebras associated to finite simple graphs and families of tracial von Neumann algebras $(M_v)…
Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces
I. Chifan, A. Ioana, D. Osin +1
We show that every finite group realizes as the outer automorphism group of an ICC hyperbolic group with Kazhdan property (T). This result complements the well-known theorem of Pau…
Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms
I. Chifan, A. Ioana, D. Osin +1
Given a countable group , let denote its von Neumann algebra. For a wide class of ICC groups with Kazhdan's property (T), we confirm a conjecture of V.F.R. Jones as…
Trace spaces of full free product -algebras
Adrian Ioana, Pieter Spaas, Itamar Vigdorovich
We study the space of traces associated with arbitrary full free products of unital, separable -algebras. We show that, unless certain basic obstructions (which we fully chara…