Limit C*-algebras associated with an automorphism
| dc.creator | Solel, Baruch | |
| dc.date | 2003-12-03 | |
| dc.date.accessioned | 2026-07-07T05:03:32Z | |
| dc.date.available | 2026-07-07T05:03:32Z | |
| dc.description | We present and study C*-algebras generated by "periodic weighted creation operators" on the Fock space associated with an automorphism $α$ on a C*-algebra $A$. These algebras can be viewed as generalized Bunce-Deddens algebras associated with the automorphism and can be written as a certain direct limit. We prove a crossed product presentation for such an algebra and find a necessary and sufficient condition for it to be simple. In the case where the automorphism is induced by an irrational rotation (on $C(\mathbb{T})$) we compute the K-theory groups and obtain a complete classification of these algebras. | |
| dc.description | Latex file, To appear in Math. Scand | |
| dc.identifier | https://arxiv.org/abs/math/0312089 | |
| dc.identifier | http://arxiv.org/abs/math/0312089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69456 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L40; 46L35; 46L80 | |
| dc.title | Limit C*-algebras associated with an automorphism | |
| dc.type | text |