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math.OA2021
Compact Quantum Metric Spaces from Free Graph Algebras
Konrad Aguilar, Michael Hartglass, David Penneys
Starting with a vertex-weighted pointed graph , we form the free loop algebra defined in Hartglass-Penneys' article on canonical -algebras assoc…
math.QA2021★ 3 cited
Classification of -quadratic unitary fusion categories
Cain Edie-Michell, Masaki Izumi, David Penneys
A unitary fusion category is called -quadratic if it has a group of invertible objects and one other orbit of simple objects under…
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…