An algebraic characterisation of ample type I groupoids
- Resource Type
- Authors
- Favre, Gabriel; Raum, Sven
- Source
- Semigroup Forum. 104:58-71
- Subject
- Algebra and Number Theory
Mathematics::Operator Algebras
- Language
- ISSN
- 1432-2137
0037-1912
We give algebraic characterisations of the type I and CCR properties for locally compact second countable, ample Hausdorff groupoids in terms of subquotients of its Boolean inverse semigroup of compact open local bisections. It yields in turn algebraic characterisations of both properties for inverse semigroups with meets in terms of subquotients of their Booleanisation.