Q-system completion of 2-functors

Article Type

Research Article

Publication Title

International Journal of Mathematics

Abstract

A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category or a C*-2-category. We prove that, for C*-2-categories C and D, the C*-2-category Fun(C, D) of ∗-2-functors, ∗-2-transformations and ∗-2-modifications is Q-system complete, whenever D is Q-system complete. We use this result to provide a characterization of Q-system complete categories in terms of ∗-2-functors and to prove that the 2-category of actions of a unitary fusion category C on C*-algebras is Q-system complete.

DOI

https://10.1142/S0129167X23500738

Publication Date

10-1-2023

Comments

Open Access, Green

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