C*-algebras associated with interval maps
| dc.creator | Deaconu, Valentin | |
| dc.creator | Shultz, Fred | |
| dc.date | 2004-05-24 | |
| dc.date | 2005-10-14 | |
| dc.date.accessioned | 2026-07-07T06:36:48Z | |
| dc.date.available | 2026-07-07T06:36:48Z | |
| dc.description | For each piecewise monotonic map tau of [0,1], we associate a pair of C*-algebras F_tau and O_tau and calculate their K-groups. The algebra F_tau is an AI-algebra. We characterize when F_tau and O_τare simple. In those cases, F_tau has a unique trace, and O_tau is purely infinite with a unique KMS-state. In the case that tau is Markov, these algebras include the Cuntz-Krieger algebras O_A, and the associated AF-algebras F_A. Other examples for which the K-groups are computed include tent maps, quadratic maps, multimodal maps, interval exchange maps, and beta-transformations. For the case of interval exchange maps and of beta-transformations, the C*-algebra O_tau coincides with the algebras defined by Putnam and Katayama-Matsumoto-Watatani respectively. | |
| dc.description | 35 pages, 1 eps figure, LateX. Editorial changes, and shortened for publication by omitting previous sections 8, 9 and revising introduction. Has been accepted for publication in the AMS Transactions | |
| dc.identifier | https://arxiv.org/abs/math/0405469 | |
| dc.identifier | http://arxiv.org/abs/math/0405469 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100207 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.subject | 46L80 (primary) 37E05 (secondary) | |
| dc.title | C*-algebras associated with interval maps | |
| dc.type | text |