A unified approach to Exel-Laca algebras and C*-algebras associated to graphs
| dc.creator | Tomforde, Mark | |
| dc.date | 2001-06-19 | |
| dc.date | 2001-10-19 | |
| dc.date.accessioned | 2026-07-07T04:42:14Z | |
| dc.date.available | 2026-07-07T04:42:14Z | |
| dc.description | We define an ultragraph, which is a generalization of a directed graph, and describe how to associate a C*-algebra to it. We show that the class of ultragraph algebras contains the C*-algebras of graphs as well as the Exel-Laca algebras. We also show that many of the techniques used for graph algebras can be applied to ultragraph algebras and that the ultragraph provides a useful tool for analyzing Exel-Laca algebras. Our results include versions of the Cuntz-Krieger Uniqueness Theorem and the Gauge-Invariant Uniqueness Theorem for ultragraph algebras. | |
| dc.description | 22 pages, uses XY-pic, New version comments: terminology change - "labeled graph" was replaced by "ultragraph", to appear in JOT | |
| dc.identifier | https://arxiv.org/abs/math/0106161 | |
| dc.identifier | http://arxiv.org/abs/math/0106161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61690 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | A unified approach to Exel-Laca algebras and C*-algebras associated to graphs | |
| dc.type | text |