A. Ioana

activity

20042025

most citedErgodic Subequivalence Relations Induced by a Bernoulli Action

38 citations · 241 across the 41 of their papers we have counts for

collaborators

54 papers

math.OA2025

Rigidity for graph product von Neumann algebras

Camille Horbez, Adrian Ioana

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

math.OA2025

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 $Γ < G$ an irreducible lattice. Cons…

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…

math.OA2024

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.OA2023★ 5 cited

Asymptotic freeness in tracial ultraproducts

Cyril Houdayer, Adrian Ioana

We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_{1} * M_{2}$ is a tracial free product von Neuma…

math.OA2023

Non-isomorphism of $A^{* n}, 2 \leq n \leq \infty$ , for a non-separable abelian von Neumann algebra $A$

Rémi Boutonnet, Daniel Drimbe, Adrian Ioana +1

We prove that if $A$ is a non-separable abelian tracial von Neuman algebra then its free powers $A^{* n}, 2 \leq n \leq \infty$ , are mutually non-isomorphic and with trivial fundamen…