Actions of compact and discrete quantum groups on operator systems
arXiv:2304.14055 · doi:10.1093/imrn/rnae118
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.
arXiv comment30 pages
References in corpus (5)
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- Noncommutative Furstenberg boundary
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