Matthijs Borst

activity

20192024

most citedBimodule coefficients, Riesz transforms on Coxeter groups and strong solidity

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.OA2024

Rigid Graph Products

Matthijs Borst, Martijn Caspers, Enli Chen

We prove rigidity properties for von Neumann algebraic graph products. We introduce the notion of rigid graphs and define a class of II $_{1}$ -factors named $C_{Rigid}$ .…

math.OA2023

Classification of right-angled Coxeter groups with a strongly solid von Neumann algebra

Matthijs Borst, Martijn Caspers

Let $W$ be a finitely generated right-angled Coxeter group with group von Neumann algebra $L (W)$ . We prove the following dichotomy: either $L (W)$ is strongly so…

math.OA2023

Commutator estimates for normal operators in factors with applications to derivations

Alexei Ber, Matthijs Borst, Fedor Sukochev

For a normal measurable operator $a$ affiliated with a von Neumann factor $M$ we show: If $M$ is infinite, then there is $λ_{0} \in C$ so that for $\varep…

math.OA2022

The CCAP for graph products of operator algebras

Matthijs Borst

For a simple graph $Γ$ and for unital $C^{*}$ -algebras with GNS-faithful states $(A_{v}, φ_{v})$ for $v \in V Γ$ , we consider the reduced graph product $(\mathcal{A},φ)=*_{v,Γ}(\ma…

math.OA2022

On the isomorphism class of $q$ -Gaussian W $^{*}$ -algebras for infinite variables

Martijn Caspers

Let $M_{q} (H_{R})$ be the $q$ -Gaussian von Neumann algebra associated with a separable infinite dimensional real Hilbert space $H_{R}$ where $- 1 < q < 1$ . We show t…

math.OA2022

On the isomorphism class of $q$ -Gaussian C $^{*}$ -algebras for infinite variables

Matthijs Borst, Martijn Caspers, Mario Klisse +1

For a real Hilbert space $H_{R}$ and $- 1 < q < 1$ Bozejko and Speicher introduced the C $^{*}$ -algebra $A_{q} (H_{R})$ and von Neumann algebra $M_{q} (H_{R})$ …

math.OA2021★ 1 cited

Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity

Matthijs Borst, Martijn Caspers, Mateusz Wasilewski

In deformation-rigidity theory it is often important to know whether certain bimodules are weakly contained in the coarse bimodule. Consider a bimodule $H$ over the group algebra $…

math.DS2021

A multidimensional solution to additive homological equations

Aleksei F. Ber, Matthijs J. Borst, Sander J. Borst +1

In this paper we prove that for a finite-dimensional real normed space $V$ , every bounded mean zero function $f \in L_{\infty} ([0, 1]; V)$ can be written in the form $f = g \circ T - g$ …

math.DS2019

Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0, 1]$

Aleksei F. Ber, Matthijs J. Borst, Fedor A. Sukochev

In [7], Kwapień announced that every mean zero function $f \in L_{\infty} [0, 1]$ can be written as a coboundary $f = g \circ T - g$ for some $g \in L_{\infty} [0, 1]$ and some measure preserv…

Rigid Graph Products

Classification of right-angled Coxeter groups with a strongly solid von Neumann algebra

Commutator estimates for normal operators in factors with applications to derivations

The CCAP for graph products of operator algebras

On the isomorphism class of q-Gaussian W∗-algebras for infinite variables

On the isomorphism class of q-Gaussian C∗-algebras for infinite variables

Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity

A multidimensional solution to additive homological equations

Full proof of Kwapień's theorem on representing bounded mean zero functions on [0,1]

On the isomorphism class of $q$ -Gaussian W $^{*}$ -algebras for infinite variables

On the isomorphism class of $q$ -Gaussian C $^{*}$ -algebras for infinite variables

Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0, 1]$