The C$^*$-envelope of a semicrossed product and Nest Representations
| dc.creator | Peters, Justin R. | |
| dc.date | 2008-10-29 | |
| dc.date.accessioned | 2026-07-07T10:14:05Z | |
| dc.date.available | 2026-07-07T10:14:05Z | |
| dc.description | Let $X$ be compact Hausdorff, and $ϕ: X \to X$ a continuous surjection. Let $\mathcal{A}$ be the semicrossed product algebra corresponding to the relation fU = Uf\circ ϕ$ or to the relation $Uf = f\circ ϕU.$ Then the C$^*$-envelope of $\mathcal{A}$ is the crossed product of a commutative C$^*$-algebra which contains $C(X)$ as a subalgebra, with respect to a homeomorphism which we construct. We also show there are"sufficiently many" nest representations. | |
| dc.identifier | https://arxiv.org/abs/0810.5364 | |
| dc.identifier | http://arxiv.org/abs/0810.5364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172761 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.subject | 46L52; 37B99 | |
| dc.title | The C$^*$-envelope of a semicrossed product and Nest Representations | |
| dc.type | text |