Exel's Crossed Product and Relative Cuntz-Pimsner Algebras
| dc.creator | Brownlowe, Nathan | |
| dc.creator | Raeburn, Iain | |
| dc.date | 2004-08-24 | |
| dc.date.accessioned | 2026-07-07T05:11:30Z | |
| dc.date.available | 2026-07-07T05:11:30Z | |
| dc.description | We consider Exel's new construction of a crossed product of a C*-algebra A by an endomorphism α. We prove that this crossed product is universal for an appropriate family of covariant representations, and we show that it can be realised as a relative Cuntz-Pimsner algbera. We describe a necessary and sufficient condition for the canonical map from A into the crossed product to be injective, and present several examples to demonstrate the scope of this result. We also prove a gauge-invariant uniqueness theorem for the crossed product. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408324 | |
| dc.identifier | http://arxiv.org/abs/math/0408324 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72265 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Exel's Crossed Product and Relative Cuntz-Pimsner Algebras | |
| dc.type | text |