A. Ioana

activity

20242026

collaborators

Showing math.OAShow all

5 papers · 1 filter

math.OA2026

Weyl groups and rigidity of von Neumann algebras

Cyril Houdayer, Adrian Ioana

Let $G$ be a noncompact semisimple algebraic group with trivial center, $S < G$ a maximal split torus, $H < G$ the centralizer of $S$ in $G$ and $I^ < G$ an irreducible lattice. Con…

math.OA2025

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…

math.OA2025

Rigidity for graph product von Neumann algebras

Camille Horbez, Adrian Ioana

We establish rigidity theorems for graph product von Neumann algebras $M_{I^} = *_{v, I^} M_{v}$ associated to finite simple graphs $I^$ and families of tracial von Neumann algebras $(M_v)…

math.OA2025

Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms

I. Chifan, A. Ioana, D. Osin +1

Given a countable group $G$ , let $L (G)$ 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…

math.OA2024

Trace spaces of full free product $C^{*}$ -algebras

Adrian Ioana, Pieter Spaas, Itamar Vigdorovich

We study the space of traces associated with arbitrary full free products of unital, separable $C^{*}$ -algebras. We show that, unless certain basic obstructions (which we fully chara…

Weyl groups and rigidity of von Neumann algebras

Wreath-like products of groups and their von Neumann algebras III: Embeddings

Rigidity for graph product von Neumann algebras

Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms

Trace spaces of full free product C∗-algebras

Trace spaces of full free product $C^{*}$ -algebras