The C$^*$-envelope of a semicrossed product and nest representations

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dc.creatorPeters, Justin R.
dc.date2006-09-19
dc.date.accessioned2026-07-07T07:24:58Z
dc.date.available2026-07-07T07:24:58Z
dc.descriptionLet $X$ be compact Hausdorff, and $ϕ: X \to X$ a continuous surjection. Let $\mathcal{A}$ be the semicrossed product algebra corresponding to the relation $fU = Uf\circ ϕ$. 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.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0609533
dc.identifierhttp://arxiv.org/abs/math/0609533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116570
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject46L52; 37B99
dc.titleThe C$^*$-envelope of a semicrossed product and nest representations
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