An Application of Idempotent Monads and Comonads to Compactifications and Unitizations
Operator Algebras
2026-01-14 v1
Abstract
This paper uses monads and comonads to establish a certain type of equivalence between two subcategories, one reflective and one coreflective, in a category whose objects represent compactifications of non-compact locally compact Hausdorff spaces. The equivalence is then examined in the dual category of unitizations of non-unital commutative -algebras and subsequently generalized to the noncommutative case.
Keywords
Cite
@article{arxiv.2601.07940,
title = {An Application of Idempotent Monads and Comonads to Compactifications and Unitizations},
author = {Jeri Ann Spiker},
journal= {arXiv preprint arXiv:2601.07940},
year = {2026}
}