C*-Algebras of Irreversible Dynamical Systems
| dc.creator | Exel, R. | |
| dc.creator | Vershik, A. | |
| dc.date | 2002-03-19 | |
| dc.date.accessioned | 2026-07-07T04:47:09Z | |
| dc.date.available | 2026-07-07T04:47:09Z | |
| dc.description | We show that certain C*-algebras which have been studied among others by Arzumanian, Vershik, Deaconu, and Renault in connection to a measure preserving transformation of a measure space and/or to a covering map of a compact space are special cases of the endomorphism crossed-product construction recently introduced by the first named author. As a consequence these algebras are given presentations in terms of generators and relations. These results come as a consequence of a general Theorem on faithfulness of representations which are covariant with respect to certain circle actions. For the case of topologically free covering maps we prove a stronger result on faithfulness of representations which needs no covariance. We also give a necessary and sufficient condition for simplicity. | |
| dc.description | Plain Tex, 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203185 | |
| dc.identifier | http://arxiv.org/abs/math/0203185 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63597 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.title | C*-Algebras of Irreversible Dynamical Systems | |
| dc.type | text |