Graded Lawson-Stone Duality
Rings and Algebras
2025-10-09 v1
Abstract
The classical Stone duality associates to each Boolean algebra a topological space consisting of ultrafilters. Lawson's generalisation constructs a dual equivalence of categories of Boolean inverse -semigroups and Hausdorff ample topological groupoids. We further generalise the duality to the graded analogues of those categories, and provide various illustrations.
Cite
@article{arxiv.2510.06497,
title = {Graded Lawson-Stone Duality},
author = {Roozbeh Hazrat and Zachary Mesyan},
journal= {arXiv preprint arXiv:2510.06497},
year = {2025}
}