The Bunce-Deddens Algebras as Crossed Products by Partial Automorphisms
| dc.creator | Exel, Ruy | |
| dc.date | 1993-02-09 | |
| dc.date.accessioned | 2026-07-07T09:13:23Z | |
| dc.date.available | 2026-07-07T09:13:23Z | |
| dc.description | We describe both the Bunce-Deddens C*-algebras and their Toeplitz versions, as crossed products of commutative C*-algebras by partial automorphisms. In the latter case, the commutative algebra has, as its spectrum, the union of the Cantor set and a copy the set of natural numbers N, fitted together in such a way that N is an open dense subset. The partial automorphism is induced by a map that acts like the odometer map on the Cantor set while being the translation by one on N. From this we deduce, by taking quotients, that the Bunce-Deddens C*-algebras are isomorphic to the (classical) crossed product of the algebra of continuous functions on the Cantor set by the odometer map. | |
| dc.description | 6 pages, plain TeX, UNM--RE--005 | |
| dc.identifier | https://arxiv.org/abs/funct-an/9302001 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9302001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152310 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | The Bunce-Deddens Algebras as Crossed Products by Partial Automorphisms | |
| dc.type | text |