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arXiv · 2105.12010

Q-system completion for C* 2-categories

Quan Chen·Roberto Hernández Palomares·Corey Jones·David Penneys
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Abstract

A Q-system in a C* 2-category is a unitary version of a separable Frobenius algebra object and can be viewed as a unitary version of a higher idempotent. We define a higher unitary idempotent completion for C* 2-categories called Q-system completion and study its properties. We show that the C* 2-category of right correspondences of unital C*-algebras is Q-system complete by constructing an inverse realization $\dag$ 2-functor. We use this result to construct induced actions of group theoretical unitary fusion categories on continuous trace C*-algebras with connected spectra.

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BibTeXRIS

Quan Chen, Roberto Hernández Palomares, Corey Jones, David Penneys. 2021-05-25. Q-system completion for C* 2-categories. https://doi.org/10.1016/j.jfa.2022.109524

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