activity
20202026
most citedQ-system completion for C* 2-categories

27 citations · 39 across the 6 of their papers we have counts for

collaborators

6 papers

math.OA2026

Gauging the Categorical Connes'

Quan Chen

We prove that if a finite group acts outerly on a McDuff factor , then is a braided monoidal full subcategory of the categorical Connes' $\ti…

math.OA2022★ 9 cited

K-theoretic classification of inductive limit actions of fusion categories on AF-algebras

Quan Chen, Roberto Hernández Palomares, Corey Jones

We introduce a K-theoretic invariant for actions of unitary fusion categories on unital C*-algebras. We show that for inductive limits of finite dimensional actions of fusion categ…

math.OA2021

A categorical Connes'

Quan Chen, Corey Jones, David Penneys

Popa introduced the tensor category of approximately inner, centrally trivial bimodules of a factor , generalizing Connes' . We extend Popa's no…

math.QA2021★ 3 cited

Q-system completion is a 3-functor

Quan Chen, David Penneys

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 d…

math.OA2021★ 27 cited

Q-system completion for C* 2-categories

Quan Chen, Roberto Hernández Palomares, Corey Jones +1

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…

math.OA2020

Standard -lattices, rigid tensor categories, and (bi)modules

Quan Chen

In this article, we construct a 2-shaded rigid multitensor category with canonical unitary dual functor directly from a standard -lattice. We use the notions of trac…