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Quantum Sets of Compact Quantum Groups
Published 4 Jan 2024 in math.QA, math.CT, and math.OA | (2401.02065v1)
Abstract: Q-system completion can be thought of as a notion of higher idempotent completion of C*-2-categories. We introduce a notion of quantum bi-elements, and study Q-system completion in the context of compact quantum groups. We relate our notion of quantum bi-elements to already known notions of quantum sets and quantum functions, and provide a description of Q-system completion of the C*-2-category of compact quantum groups using quantum bi-elements
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