General Non-Commutative Locally Compact Locally Hausdorff Stone Duality
Logic
2019-11-19 v2 General Topology
Operator Algebras
Abstract
We extend the classical Stone duality between zero dimensional compact Hausdorff spaces and Boolean algebras. Specifically, we simultaneously remove the zero dimensionality restriction and extend to \'etale groupoids, obtaining a duality with an elementary class of inverse semigroups.
Cite
@article{arxiv.1803.00394,
title = {General Non-Commutative Locally Compact Locally Hausdorff Stone Duality},
author = {Tristan Bice and Charles Starling},
journal= {arXiv preprint arXiv:1803.00394},
year = {2019}
}
Comments
minor corrections/modifications