Classifying the Type of Principal Groupoid C*-algebras
| dc.creator | Clark, Lisa Orloff | |
| dc.date | 2005-11-17 | |
| dc.date.accessioned | 2026-07-07T06:51:24Z | |
| dc.date.available | 2026-07-07T06:51:24Z | |
| dc.description | Suppose $G$ is a second countable, locally compact, Hausdorff groupoid with a fixed left Haar system. Let $\go/G$ denote the orbit space of $G$ and $\cs(G)$ denote the groupoid $C^*$-algebra. Suppose that $G$ is a principal groupoid. We show that $C^*(G)$ is CCR if and only if $\go/G$ is a $T_1$ topological space, and that $C^*(G)$ is GCR if and only if $\go/G$ is a $T_0$ topological space. We also show that $C^*(G)$ is a Fell Algebra if and only if $G$ is a Cartan groupoid. | |
| dc.identifier | https://arxiv.org/abs/math/0511450 | |
| dc.identifier | http://arxiv.org/abs/math/0511450 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104975 | |
| dc.subject | Operator Algebras | |
| dc.title | Classifying the Type of Principal Groupoid C*-algebras | |
| dc.type | text |