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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.
@article{TAC_2023_39_a36, author = {Mainak Ghosh}, title = {Q-system completeness of unitary connections}, journal = {Theory and applications of categories}, pages = {1121--1151}, publisher = {mathdoc}, volume = {39}, year = {2023}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a36/} }
Mainak Ghosh. Q-system completeness of unitary connections. Theory and applications of categories, Tome 39 (2023), pp. 1121-1151. http://geodesic.mathdoc.fr/item/TAC_2023_39_a36/