Quantum Sets of Compact Quantum Groups
Quantum Algebra
2024-01-05 v1 Category Theory
Operator Algebras
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
Cite
@article{arxiv.2401.02065,
title = {Quantum Sets of Compact Quantum Groups},
author = {Mainak Ghosh},
journal= {arXiv preprint arXiv:2401.02065},
year = {2024}
}
Comments
14 pages, tikz figures, comments are welcome