A class of limit algebras associated with directed graphs
| dc.creator | Kribs, David W. | |
| dc.creator | Solel, Baruch | |
| dc.date | 2004-11-17 | |
| dc.date.accessioned | 2026-07-07T07:50:57Z | |
| dc.date.available | 2026-07-07T07:50:57Z | |
| dc.description | Every directed graph defines a Hilbert space and a family of weighted shifts that act on the space. We identify a natural notion of periodicity for such shifts and study their C*-algebras. We prove the algebras generated by all shifts of a fixed period are of Cuntz-Krieger and Toeplitz-Cuntz-Krieger type. The limit C*-algebras determined by an increasing sequence of positive integers, each dividing the next, are proved to be isomorphic to Cuntz-Pimsner algebras and the linking maps are shown to arise as factor maps. We derive a characterization of simplicity and compute the $K$-groups for these algebras. We prove a classification theorem for the class of algebras generated by simple loop graphs. | |
| dc.description | 31 pages, preprint version | |
| dc.identifier | https://arxiv.org/abs/math/0411379 | |
| dc.identifier | http://arxiv.org/abs/math/0411379 | |
| dc.identifier | J. Aust. Math. Soc., 82 (2007), 1-24. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125349 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.title | A class of limit algebras associated with directed graphs | |
| dc.type | text |