Dilating covariant representations of the non-commutative disc algebras

Simple item page
dc.creatorDavidson, K. R.
dc.creatorKatsoulis, E. G.
dc.date2009-04-19
dc.date.accessioned2026-07-07T13:05:49Z
dc.date.available2026-07-07T13:05:49Z
dc.descriptionLet $ϕ$ be an isometric automorphism of the non-commutative disc algebra $\fA_n$ for $n \geq 2$. We show that every contractive covariant representation of $(\fA_n, ϕ)$ dilates to a unitary covariant representation of $(Ø_n, ϕ)$. Hence the C*-envelope of the semicrossed product $\fA_n \times_ϕ \bZ^+$ is $Ø_n \times_ϕ \bZ$.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0904.2877
dc.identifierhttp://arxiv.org/abs/0904.2877
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227616
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.titleDilating covariant representations of the non-commutative disc algebras
dc.typetext

Files

Collections

arXiv