An algebraic characterization of ample type I groupoids
Operator Algebras
2020-12-16 v1 Category Theory
Group Theory
Abstract
We give algebraic characterizations of the type I and CCR properties for locally compact second countable, ample Hausdorff groupoids in terms of subquotients of their Boolean inverse semigroups of compact open bisections. It yields in turn algebraic characterizations of both properties for inverse semigroups in terms of subquotients of their booleanizations.
Cite
@article{arxiv.2012.07896,
title = {An algebraic characterization of ample type I groupoids},
author = {Gabriel Favre and Sven Raum},
journal= {arXiv preprint arXiv:2012.07896},
year = {2020}
}