7 papers
On the first-order genus of wreath products and their central extensions
Olga Kharlampovich, Alexei Miasnikov, Denis Osin
We prove that groups of the form , where , are regularly bi-interpretable with and therefore are first-order ri…
McDuff superrigidity for group II factors
Juan Felipe Ariza Mejía, Ionuţ Chifan, Denis Osin +1
Developing new techniques at the interface of geometric group theory and von Neumann algebras, we identify the first examples of ICC groups whose von Neumann algebras are McDuf…
W-superrigidity for property (T) groups with infinite center
Ionuţ Chifan, Adriana Fernández Quero, Denis Osin +1
We propose to study a natural version of Connes' Rigidity Conjecture that involves property (T) groups with infinite center. Utilizing techniques at the intersection of von Neumann…
Finitely presented groups with transcendental spectral radius
Corentin Bodart, Denis Osin
We provide examples of groups with transcendental spectral radius: We first construct finitely presented examples, using links between decidability of the Word Problem and semi-com…
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…
Finitely presented condensed groups
D. Osin
Let denote the space of finitely generated marked groups. For any finitely generated group , we construct a continuous, injective map from the space of subgroup…
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…