activity
20062026
most citedOn the structural theory of II_1 factors of negatively curved groups, II: Actions by product groups

55 citations · 354 across the 38 of their papers we have counts for

collaborators

43 papers

math.OA2026

Bi-exact Wreath-like Product Groups

Ionuţ Chifan, Zhiyuan Yang

In this short paper, we prove the bi-exactness of all wreath-like product groups , whenever is amenable, is bi-exact, and the actio…

math.OA2026

Relative Biexactness for Relative Hyperbolic Groups and Some Applications

Ionuţ Chifan, Kai Toyosawa, Zhiyuan Yang

In this paper, we confirm a conjecture of Ozawa and others asserting that every finitely generated, relatively hyperbolic, exact group is bi-exact (in the sense of Ozawa) relative…

math.OA2026

Amenable absorption in von Neumann algebras of hyperbolic groups

Juan Felipe Ariza Mejia, Ionut Chifan, Adriana Fernandez Quero +1

We prove that the von Neumann algebra $\cL(G)$ associated with any hyperbolic group satisfies the following \emph{amenable absorption property}: for any infinite maximal amenab…

math.OA2025

Property (T) group factors whose Jones index set equals all positive integers

Ionut Chifan, Junhwi Lim

Using a mélange of techniques at the rich intersection of deformation/rigidity theory, finite index subfactor theory, and geometric group theory, we prove the existence of a contin…

math.OA2025

Relative solidity results and their applications to computations of some II factor invariants

Juan Felipe Ariza Mejia, Dulanji Nikethani Amaraweera, Ionut Chifan +1

In this paper we prove that whenever is hyperbolic relative to a family of exact, ressidually finite subgroups , the corresponding von Neumann algebra $\m…

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…