Matthijs Borst

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math.OA2026

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.OA2024

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.OA2024

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.OA2024

The CCAP for graph products of operator algebras

Matthijs Borst

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