Crossed products of the Cantor set by free minimal actions of Z^d
| dc.creator | Phillips, N. Christopher | |
| dc.date | 2002-08-11 | |
| dc.date.accessioned | 2026-07-07T04:50:11Z | |
| dc.date.available | 2026-07-07T04:50:11Z | |
| dc.description | Let d be a positive integer, let X be the Cantor set, and let Z^d act freely and minimally on X. We prove that the crossed product C* (Z^d, X) has stable rank one, real rank zero, and cancellation of projections, and that the order on K_0 (C* (Z^d, X)) is determined by traces. We obtain the same conclusion for the C*-algebras of various kinds of aperiodic tilings. | |
| dc.description | 41 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0208085 | |
| dc.identifier | http://arxiv.org/abs/math/0208085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64700 | |
| dc.subject | Operator Algebras | |
| dc.subject | 19K14, 22A22, 46L80, 54H15, 57S99 (Primary) 19A13, 19B10, 46L55 (Secondary) | |
| dc.title | Crossed products of the Cantor set by free minimal actions of Z^d | |
| dc.type | text |