Q-system completeness of unitary connections

Mainak Ghosh

A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category. In a recent joint work with P. Das, S. Ghosh and C. Jones, the author has categorified Bratteli diagrams and unitary connections by building a 2-category UC. We prove that every Q-system in UC splits.

Keywords: Q-systems, Unitary Connections, Subfactors, C*-2-categories

2020 MSC: 46M15, 46L37

Theory and Applications of Categories, Vol. 39, 2023, No. 37, pp 1121-1151.

Published 2023-12-22.

http://www.tac.mta.ca/tac/volumes/39/37/39-37.pdf

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