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math.OA2025
On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads
Erik Bédos, S. Kaliszewski, John Quigg
We present a new method, involving monads and comonads from category theory, to help establish a certain type of equivalence of subcategories. As a case study we consider the categ…
math.OA2025
Gluing topological graph C*-algebras
Atul Gothe, John Quigg, Mariusz Tobolski
We introduce regular closed subgraphs of Katsura's topological graphs and use them to generalize the notion of an adjunction space from topology. Our construction attaches a topolo…