Filtering germs: Groupoids associated to inverse semigroups
Rings and Algebras
2022-06-06 v3 Operator Algebras
Abstract
We investigate various groupoids associated to an arbitrary inverse semigroup with zero. We show that the groupoid of filters with respect to the natural partial order is isomorphic to the groupoid of germs arising from the standard action of the inverse semigroup on the space of idempotent filters. We also investigate the restriction of this isomorphism to the groupoid of tight filters and to the groupoid of ultrafilters.
Cite
@article{arxiv.2010.16113,
title = {Filtering germs: Groupoids associated to inverse semigroups},
author = {Becky Armstrong and Lisa Orloff Clark and Astrid an Huef and Malcolm Jones and Ying-Fen Lin},
journal= {arXiv preprint arXiv:2010.16113},
year = {2022}
}
Comments
9 pages. This version matches the version in Expositiones Mathematicae