English

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

Operator Algebras 2025-12-09 v1

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 CC^*-algebras over a fixed Hausdorff \'etale groupoid.

Keywords

Cite

@article{arxiv.2512.06461,
  title  = {On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads},
  author = {Erik Bédos and S. Kaliszewski and John Quigg},
  journal= {arXiv preprint arXiv:2512.06461},
  year   = {2025}
}

Comments

19 pages