An algebraic characterization of ample type I groupoids

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.

References in corpus (1)

• A note on type I groups acting on d-regular trees