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

Published 6 Dec 2025 in math.OA | (2512.06461v1)

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 étale groupoid.

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