Joeri De Ro

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math.OA2026

Quantum hypergroups arising from ergodic coactions

Joeri De Ro

Given a compact quantum group $G$ and an ergodic action $L^{\infty} (X) ↶ α G$ with algebraic core $O (X)$ , we show t…

math.OA2023

Equivariant injectivity of crossed products

Joeri De Ro

We introduce the notion of a $G$ -operator space $(X, α)$ , which consists of an action $α : X ↶ G$ of a locally compact quantum group $G$ on…

math.OA2023

Actions of compact and discrete quantum groups on operator systems

Joeri De Ro, Lucas Hataishi

We introduce the notion of an action of a discrete or compact quantum group on an operator system, and study equivariant operator system injectivity. We then prove a duality result…