C*-algebras of commuting endomorphisms
| dc.creator | Deaconu, Valentin | |
| dc.date | 2004-06-30 | |
| dc.date.accessioned | 2026-07-07T05:09:51Z | |
| dc.date.available | 2026-07-07T05:09:51Z | |
| dc.description | Given a compact space X and two commuting continuous open surjective maps sigma_1, sigma_2 : X --> X, we construct certain C*-algebras that reflect the dynamics of the N^2-action. When the maps sigma_1, sigma_2 are local homeomorphisms, these are groupoid algebras, but in general, we will use a Cuntz-Pimsner algebra associated to a product system of Hilbert bimodules in the sense of Fowler. The motivating example for our construction is the dynamical system associated with a rank two graph by Kumjian and Pask. We consider also a two-dimensional subshift of Ledrappier, the case of two covering maps of the circle, and the two-dimensional Bernoulli shift. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406624 | |
| dc.identifier | http://arxiv.org/abs/math/0406624 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71739 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | C*-algebras of commuting endomorphisms | |
| dc.type | text |