Q-system completion for C⁎ 2-categories

By Quanlin Chen, Roberto Hernández Palomares, Corey Jones, David Penneys. Journal of Functional Analysis, 2021

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fdcf207f9df94064bb739128e360c5f23cbd4262