Non-commutative Stone duality
Category Theory
2022-08-02 v2
Abstract
We show explicitly that Boolean inverse semigroups are in duality with what we term Boolean groupoids. This generalizes the classical Stone duality, which we refer to as commutative Stone duality, between generalized Boolean algebras and locally compact Hausdorff -dimensional spaces.
Cite
@article{arxiv.2207.02686,
title = {Non-commutative Stone duality},
author = {Mark V. Lawson},
journal= {arXiv preprint arXiv:2207.02686},
year = {2022}
}
Comments
Minor corrections have been made throughout. New sections 9 and 10 added