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arXiv · 2304.14055

Actions of compact and discrete quantum groups on operator systems

Joeri De Ro·Lucas Hataishi
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Abstract

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 that relates equivariant injectivity with dual injectivity on associated crossed products. As an application, we give a description of the equivariant injective envelope of the reduced crossed product built from an action of a discrete quantum group on an operator system.

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Joeri De Ro, Lucas Hataishi. 2023-04-27. Actions of compact and discrete quantum groups on operator systems. https://doi.org/10.1093/imrn%2Frnae118

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