Crossed products by minimal homeomorphisms
| dc.creator | Lin, Huaxin | |
| dc.creator | Phillips, N. Christopher | |
| dc.date | 2004-08-22 | |
| dc.date.accessioned | 2026-07-07T05:11:27Z | |
| dc.date.available | 2026-07-07T05:11:27Z | |
| dc.description | Let X be an infinite compact metric space with finite covering dimension and let h be a minimal homeomorphism of X. Let A be the associated crossed product C*-algebra. We show that A has tracial rank zero whenever the image of K_0 (A) in the affine functions on the tracial state space of A is dense. As a consequence, we show that these crossed product C*-algebras are in fact simple AH algebras with real rank zero. When X is connected and h is further assumed to be uniquely ergodic, then the above happens if and only if the rotation number associated to h has irrational values. By applying the classification theorem for nuclear simple C*-algebras with tracial rank zero, we show that two such dynamical systems have isomorphic crossed products if and only if they have isomorphic scaled ordered K-theory. | |
| dc.description | AMSLaTeX; 24 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0408291 | |
| dc.identifier | http://arxiv.org/abs/math/0408291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72247 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Crossed products by minimal homeomorphisms | |
| dc.type | text |