Approximation property of $C^*$-algebraic Bundles
| dc.creator | Exel, Ruy | |
| dc.creator | Ng, Chi-Keung | |
| dc.date | 1999-06-11 | |
| dc.date.accessioned | 2026-07-07T05:29:27Z | |
| dc.date.available | 2026-07-07T05:29:27Z | |
| dc.description | In this paper, we will define the reduced cross-sectional $C^*$-algebras of $C^*$-algebraic bundles over locally compact groups and show that if a $C^*$-algebraic bundle has the approximation property (defined similarly as in the discrete case), then the full cross-sectional $C^*$-algebra and the reduced one coincide. Moreover, if a semi-direct product bundle has the approximation property and the underlying $C^*$-algebra is nuclear, then the cross-sectional $C^*$-algebra is also nuclear. We will also compare the approximation property with the amenability of Anantharaman-Delaroche in the case of discrete groups. | |
| dc.description | 13 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9906070 | |
| dc.identifier | http://arxiv.org/abs/math/9906070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78642 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55; 46L05; 46L45 | |
| dc.title | Approximation property of $C^*$-algebraic Bundles | |
| dc.type | text |