@article{jones_lim_2024, title={An Index for Quantum Cellular Automata on Fusion Spin Chains}, ISSN={["1424-0661"]}, DOI={10.1007/s00023-024-01429-y}, journal={ANNALES HENRI POINCARE}, author={Jones, Corey and Lim, Junhwi}, year={2024}, month={Mar} }
 @article{galindo_jones_2024, title={Equivariant Fusion Subcategories}, ISSN={["1531-586X"]}, DOI={10.1007/s00031-023-09838-9}, abstractNote={Abstract}, journal={TRANSFORMATION GROUPS}, author={Galindo, Cesar and Jones, Corey}, year={2024}, month={Feb} }
 @article{chen_palomares_jones_2024, title={K-theoretic Classification of Inductive Limit Actions of Fusion Categories on AF-algebras}, volume={405}, ISSN={["1432-0916"]}, DOI={10.1007/s00220-024-04969-w}, number={3}, journal={COMMUNICATIONS IN MATHEMATICAL PHYSICS}, author={Chen, Quan and Palomares, Roberto Hernandez and Jones, Corey}, year={2024}, month={Mar} }
 @article{chen_jones_penneys_2023, title={A categorical Connes' ?(M)}, ISSN={["1432-1807"]}, DOI={10.1007/s00208-023-02695-7}, journal={MATHEMATISCHE ANNALEN}, author={Chen, Quan and Jones, Corey and Penneys, David}, year={2023}, month={Aug} }
 @article{das_ghosh_ghosh_jones_2023, title={Unitary connections on Bratteli diagrams}, ISSN={["1793-7167"]}, DOI={10.1142/S1793525323500589}, abstractNote={ In this paper, we extend Ocneanu’s theory of connections on graphs to define a 2-category whose 0-cells are tracial Bratteli diagrams, and whose 1-cells are generalizations of unitary connections. We show that this 2-category admits an embedding into the 2-category of hyperfinite von Neumann algebras, generalizing fundamental results from subfactor theory to a 2-categorical setting. }, journal={JOURNAL OF TOPOLOGY AND ANALYSIS}, author={Das, Paramita and Ghosh, Mainak and Ghosh, Shamindra and Jones, Corey}, year={2023}, month={Dec} }
 @article{jones_penneys_reutter_2022, title={A 3-categorical perspective on G$G$-crossed braided categories}, ISSN={["1469-7750"]}, DOI={10.1112/jlms.12687}, abstractNote={A braided monoidal category may be considered a 3‐category with one object and one 1‐morphism. In this paper, we show that, more generally, 3‐categories with one object and 1‐morphisms given by elements of a group G$G$ correspond to G$G$ ‐crossed braided categories, certain mathematical structures which have emerged as important invariants of low‐dimensional quantum field theories. More precisely, we show that the 4‐category of 3‐categories C$\mathcal {C}$ equipped with a 3‐functor BG→C$\mathrm{B}G \rightarrow \mathcal {C}$ which is essentially surjective on objects and 1‐morphisms is equivalent to the 2‐category of G$G$ ‐crossed braided categories. This provides a uniform approach to various constructions of G$G$ ‐crossed braided categories.}, journal={JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES}, author={Jones, Corey and Penneys, David and Reutter, David}, year={2022}, month={Nov} }
 @article{bischoff_jones_2022, title={Computing fusion rules for spherical G-extensions of fusion categories}, volume={28}, ISSN={["1420-9020"]}, DOI={10.1007/s00029-021-00725-3}, abstractNote={A G-extension of a fusion category $${\mathcal {C}}$$ yields a categorical action of G on the center $$Z({{\mathcal {C}}})$$ . If the extension admits a spherical structure, we provide a method for recovering its fusion rules in terms of the action. We then apply this to find closed formulas for the fusion rules of extensions of some group theoretical categories and of cyclic permutation crossed extensions of modular categories.}, number={2}, journal={SELECTA MATHEMATICA-NEW SERIES}, author={Bischoff, Marcel and Jones, Corey}, year={2022}, month={May} }
 @article{jones_morrison_penneys_plavnik_2021, title={Extension Theory for Braided-Enriched Fusion Categories}, ISSN={["1687-0247"]}, DOI={10.1093/imrn/rnab133}, abstractNote={Abstract}, journal={INTERNATIONAL MATHEMATICS RESEARCH NOTICES}, author={Jones, Corey and Morrison, Scott and Penneys, David and Plavnik, Julia}, year={2021}, month={Jul} }
 @article{jones_2021, title={Remarks on Anomalous Symmetries of C*-Algebras}, volume={388}, ISSN={["1432-0916"]}, DOI={10.1007/s00220-021-04234-4}, abstractNote={For a group $G$ and $\omega\in Z^{3}(G, \text{U}(1))$, an $\omega$-anomalous action on a C*-algebra $B$ is a $\text{U}(1)$-linear monoidal functor between 2-groups $\text{2-Gr}(G, \text{U}(1), \omega)\rightarrow \underline{\text{Aut}}(B)$, where the latter denotes the 2-group of $*$-automorphisms of $B$. The class $[\omega]\in H^{3}(G, \text{U}(1))$ is called the anomaly of the action. We show for every $n\ge 2$ and every finite group $G$, every anomaly can be realized on the stabilization of a commutative C*-algebra $C(M)\otimes \mathcal{K}$ for some closed connected $n$-manifold $M$. We also show that although there are no anomalous symmetries of Roe C*-algebras of coarse spaces, for every finite group $G$, every anomaly can be realized on the Roe corona $C^{*}(X)/\mathcal{K}$ of some bounded geometry metric space $X$ with property $A$.}, number={1}, journal={COMMUNICATIONS IN MATHEMATICAL PHYSICS}, author={Jones, Corey}, year={2021}, month={Nov}, pages={385–417} }
 @article{jones_2021, title={Triangle presentations and tilting modules for SL2k+1}, volume={5}, ISSN={["2415-6310"]}, DOI={10.4171/JCA/50}, number={1}, journal={JOURNAL OF COMBINATORIAL ALGEBRA}, author={Jones, Corey}, year={2021}, pages={59–92} }