The C*-algebras of arbitrary graphs
| dc.creator | Drinen, D. | |
| dc.creator | Tomforde, M. | |
| dc.date | 2000-09-26 | |
| dc.date | 2007-03-21 | |
| dc.date.accessioned | 2026-07-07T07:52:49Z | |
| dc.date.available | 2026-07-07T07:52:49Z | |
| dc.description | To an arbitrary directed graph we associate a row-finite directed graph whose C*-algebra contains the C*-algebra of the original graph as a full corner. This allows us to generalize results for C*-algebras of row-finite graphs to C*-algebras of arbitrary graphs: the uniqueness theorem, simplicity criteria, descriptions of the ideals and primitive ideal space, and conditions under which a graph algebra is AF and purely infinite. Our proofs require only standard Cuntz-Krieger techniques and do not rely on powerful constructs such as groupoids, Exel-Laca algebras, or Cuntz-Pimsner algebras. | |
| dc.description | 19 pages, uses XY-pic. New version comments: This is the published version. A few small typos from the previous version are corrected | |
| dc.identifier | https://arxiv.org/abs/math/0009228 | |
| dc.identifier | http://arxiv.org/abs/math/0009228 | |
| dc.identifier | Rocky Mountain J. Math. 35 (2005), 105-135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126019 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | The C*-algebras of arbitrary graphs | |
| dc.type | text |