8 papers
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…
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…
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 conti…
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…
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…
Rigidity for von Neumann algebras of graph product groups II. Superrigidity results
Ionut Chifan, Michael Davis, Daniel Drimbe
In \cite{CDD22} we investigated the structure of -isomorphisms between von Neumann algebras associated with graph product groups of flower-shaped graphs and prop…