Hausdorff Tight Groupoids Generalised
General Topology
2020-12-10 v1 Category Theory
Rings and Algebras
Abstract
We extend Exel's ample tight groupoid construction to general locally compact \'etale groupoids in the Hausdorff case. Moreover, we show how inverse semigroups are represented in this way as 'pseudobases' of open bisections, thus yielding a duality which encompasses various extensions of the classic Stone duality.
Cite
@article{arxiv.1809.08578,
title = {Hausdorff Tight Groupoids Generalised},
author = {Tristan Bice and Charles Starling},
journal= {arXiv preprint arXiv:1809.08578},
year = {2020}
}