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arXiv · 2512.06461

On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads

Erik Bédos·S. Kaliszewski·John Quigg
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Abstract

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 category of topological gradings of $C^*$-algebras over a fixed Hausdorff \'etale groupoid.

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Erik Bédos, S. Kaliszewski, John Quigg. 2025-12-06. On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads. https://arxiv.org/abs/2512.06461

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