Deformation Quantization via Fell Bundles
| dc.creator | Abadie, Beatriz | |
| dc.creator | Exel, Ruy | |
| dc.date | 1997-06-18 | |
| dc.date.accessioned | 2026-07-07T09:13:48Z | |
| dc.date.available | 2026-07-07T09:13:48Z | |
| dc.description | A method for deforming C*-algebras is introduced, which applies to C*-algebras that can be described as the cross-sectional C*-algebra of a Fell bundle. Several well known examples of non-commutative algebras, usually obtained by deforming commutative ones by various methods, are shown to fit our unified perspective of deformation via Fell bundles. Examples are the non-commutative spheres of Matsumoto, the non-commutative lens spaces of Matsumoto and Tomiyama, and the quantum Heisenberg manifolds of Rieffel. In a special case, in which the deformation arises as a result of an action of R^{2d}, assumed to be periodic in the first d variables, we show that we get a strict deformation quantization. | |
| dc.description | Plain TeX, 21 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/funct-an/9706005 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9706005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152454 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Deformation Quantization via Fell Bundles | |
| dc.type | text |