Daniel Drimbe

activity

20152026

_{1}

factors arising from irreducible lattices in products of rank one simple Lie groups

5 citations · 11 across the 13 of their papers we have counts for

collaborators

16 papers

math.OA2026

Examples of W $^{}$ and C $^{}$ -superrigid product groups

Jakub Curda, Daniel Drimbe

We provide a new large class $C_{A F P}$ of amalgamated free product groups for which the product rigidity result from [CdSS15] holds: if $G_{1}, \dots, G_{n} \in C_{A F P}$ …

math.OA2025

Relative solidity for biexact groups in measure equivalence

Changying Ding, Daniel Drimbe

We demonstrate a relative solidity property for the product of a nonamenable biexact group with an arbitrary infinite group in the measure equivalence setting. Among other applicat…

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…

math.OA2023

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 $L (Γ)$ associated with graph product groups $Γ$ of flower-shaped graphs and proper…

math.OA2022

Measure equivalence rigidity via s-malleable deformations

Daniel Drimbe

We single out a large class of groups $M$ for which the following unique prime factorization result holds: if $Γ_{1}, \dots, Γ_{n} \in M$ and $Γ_1\times\dots\times…

math.OA2022

Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms

Ionut Chifan, Michael Davis, Daniel Drimbe

In this paper we study various rigidity aspects of the von Neumann algebra $L (Γ)$ where $Γ$ is a graph product group \cite{Gr90} whose underlying graph is a certain cycle of clique…

math.OA2022

Tensor product indecomposability results for existentially closed factors

Ionut Chifan, Daniel Drimbe, Adrian Ioana

In the first part of the paper we survey several results from Popa's deformation/rigidity theory on the classification of tensor product decompositions of large natural classes of…

math.OA2022★ 1 cited

Embedding universality for II $_{1}$ factors with property (T)

Ionut Chifan, Daniel Drimbe, Adrian Ioana

We prove that every separable tracial von Neumann algebra embeds into a II $_{1}$ factor with property (T) which can be taken to have trivial outer automorphism and fundamental groups…

math.OA2021

$W^{}$ and $C^{}$ -superrigidity results for coinduced groups

Ionut Chifan, Alec Diaz-Arias, Daniel Drimbe

In this paper we explore a generic notion of superrigidity for von Neumann algebras $L (G)$ and reduced $C^{*}$ -algebras $C_{r}^{*} (G)$ associated with countable discrete groups $G$ . This…

math.OA2020★ 3 cited

Product rigidity in von Neumann and C $^{*}$ -algebras via s-malleable deformations

Daniel Drimbe

We provide a new large class of countable icc groups $A$ for which the product rigidity result from [CdSS15] holds: if $Γ_{1}, \dots, Γ_{n} \in A$ and $Λ$ is any group su…

math.OA2020

New examples of W $^{}$ and C $^{}$ -superrigid groups

Ionut Chifan, Alec Diaz-Arias, Daniel Drimbe

A group $G$ is called $W^{*}$ -superrigid (resp. $C^{*}$ -superrigid) if it is completely recognizable from its von Neumann algebra $L (G)$ (resp. reduced $C^{*}$ -algebra $C_{r}^{*} (G)$ ). Devel…

math.DS2020

Solid ergodicity and orbit equivalence rigidity for coinduced actions

Daniel Drimbe

We prove that the solid ergodicity property is stable with respect to taking coinduction for a fairly large class of coinduced action. More precisely, assume that $Σ < Γ$ are countab…

math.OA2019

Prime II $_{1}$ factors arising from actions of product groups

Daniel Drimbe

We prove that any II $_{1}$ factor arising from a free ergodic probability measure preserving action $Γ ↷ X$ of a product $Γ = Γ_{1} \times \dots \times Γ_{n}$ of icc hyperbolic,…

math.OA2017

W $^{*}$ -superrigidity for coinduced actions

Daniel Drimbe

We prove W $^{*}$ -superrigidity for a large class of coinduced actions. We prove that if $Σ$ is an amenable almost-malnormal subgroup of an infinite conjugagy class (icc) property (T)…

math.OA2016★ 5 cited

Prime II $_{1}$ factors arising from irreducible lattices in products of rank one simple Lie groups

Daniel Drimbe, Daniel Hoff, Adrian Ioana

We prove that if $Γ$ is an icc irreducible lattice in a product of connected non-compact rank one simple Lie groups with finite center, then the II $_{1}$ factor $L (Γ)$ is prime. In p…

math.OA2015★ 2 cited

Cocycle superrigidity for coinduced actions

Daniel Drimbe

We prove a cocycle superrigidity theorem for a large class of coinduced actions. In particular, if $Λ$ is a subgroup of a countable group $Γ$ , we consider a probability measure pre…

Examples of W∗ and C∗-superrigid product groups

Relative solidity for biexact groups in measure equivalence

Non-isomorphism of A∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A

Rigidity for von Neumann algebras of graph product groups II. Superrigidity results

Measure equivalence rigidity via s-malleable deformations

Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms

Tensor product indecomposability results for existentially closed factors

Embedding universality for II1​ factors with property (T)

W∗ and C∗-superrigidity results for coinduced groups

Product rigidity in von Neumann and C∗-algebras via s-malleable deformations

New examples of W∗ and C∗-superrigid groups

Solid ergodicity and orbit equivalence rigidity for coinduced actions

Prime II1​ factors arising from actions of product groups

W∗-superrigidity for coinduced actions

Prime II1​ factors arising from irreducible lattices in products of rank one simple Lie groups

Cocycle superrigidity for coinduced actions

Examples of W $^{}$ and C $^{}$ -superrigid product groups

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

Embedding universality for II $_{1}$ factors with property (T)

$W^{}$ and $C^{}$ -superrigidity results for coinduced groups

Product rigidity in von Neumann and C $^{*}$ -algebras via s-malleable deformations

New examples of W $^{}$ and C $^{}$ -superrigid groups

Prime II $_{1}$ factors arising from actions of product groups

W $^{*}$ -superrigidity for coinduced actions

Prime II $_{1}$ factors arising from irreducible lattices in products of rank one simple Lie groups