Geodesic
Q-system completion is a 3-functor
Theory and applications of categories, Tome 38 (2022), pp. 101-134

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Q-systems are unitary versions of Frobenius algebra objects which appeared in the theory of subfactors. In recent joint work with R. Hernández Palomares and C. Jones, the authors defined a notion of Q-system completion for C*/W* 2-categories, which is a unitary version of a higher idempotent completion in the spirit of Douglas-Reutter and Gaiotto-Johnson-Freyd. In this article, we prove that Q-system completion is a dagger 3-functor on the dagger 3-category of C*/W* 2-categories. We also prove that Q-system completion satisfies a universal property analogous to the universal property satisfied by idempotent completion for 1-categories.

Publié le :
Classification : 46M15, 18N10, 18N20, 18M30
Keywords: Q-systems, higher idempotent completion, C*/W* 2-categories, 3-functors 
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     author = {Quan Chen and David Penneys},
     title = {Q-system completion is a 3-functor},
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     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/TAC_2022_38_a3/}
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Quan Chen; David Penneys. Q-system completion is a 3-functor. Theory and applications of categories, Tome 38 (2022), pp. 101-134. http://geodesic.mathdoc.fr/item/TAC_2022_38_a3/