Rank-two graphs whose C^*-algebras are direct limits of circle algebras
| dc.creator | Pask, David | |
| dc.creator | Raeburn, Iain | |
| dc.creator | Rordam, Mikael | |
| dc.creator | Sims, Aidan | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:55:06Z | |
| dc.date.available | 2026-07-07T06:55:06Z | |
| dc.description | We describe a class of rank-2 graphs whose C^*-algebras are AT algebras. For a subclass which we call rank-2 Bratteli diagrams, we compute the K-theory of the C*-algebra. We identify rank-2 Bratteli diagrams whose C*-algebras are simple and have real-rank zero, and characterise the K-invariants achieved by such algebras. We give examples of rank-2 Bratteli diagrams whose C*-algebras contain as full corners the irrational rotation algebras and the Bunce-Deddens algebras. | |
| dc.description | 41 pages, uses pictex for figures | |
| dc.identifier | https://arxiv.org/abs/math/0512254 | |
| dc.identifier | http://arxiv.org/abs/math/0512254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106176 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | Rank-two graphs whose C^*-algebras are direct limits of circle algebras | |
| dc.type | text |