The co-universal C*-algebra of a row-finite graph
| dc.creator | Sims, Aidan | |
| dc.date | 2008-09-13 | |
| dc.date.accessioned | 2026-07-07T10:02:45Z | |
| dc.date.available | 2026-07-07T10:02:45Z | |
| dc.description | Let E be a row-finite directed graph. We prove that there exists a C*-algebra C*_{min}(E) with the following co-universal property: given any C*-algebra B generated by a Toeplitz-Cuntz-Krieger E-family in which all the vertex projections are nonzero, there is a canonical homomorphism from B onto C*_{min}(E). We also identify when a homomorphism from B to C*_{min}(E) obtained from the co-universal property is injective. When every loop in E has an entrance, C*_{min}(E) coincides with the graph C*-algebra C*(E), but in general, C*_{min}(E) is a quotient of C*(E). We investigate the properties of C*_{min}(E) with emphasis on the utility of co-universality as the defining property of the algebra. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0809.2333 | |
| dc.identifier | http://arxiv.org/abs/0809.2333 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169087 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | The co-universal C*-algebra of a row-finite graph | |
| dc.type | text |