Dilating covariant representations of the non-commutative disc algebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227616Let $ϕ$ 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 $Ø_n \times_ϕ \bZ$.18 pagesOperator AlgebrasFunctional AnalysisDilating covariant representations of the non-commutative disc algebrastext