Biholomorphisms of the unit ball of C^n and semicrossed products

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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.descriptionAssume that $ϕ_1$ and $ϕ_2$ are automorphisms of the non-commutative disc algebra $\fA_n$, $n \geq 2$. We show that the semicrossed products $\fA_n \times_{ϕ_1} \bZ^+$ and $\fA_n \times_{ϕ_2} \bZ^+$ are isomorphic as algebras if and only if $ϕ_1$ and $ϕ_2$ are conjugate via an automorphism of $\fA_n$. A similar result holds for semicrossed products of the d-shift algebra $\A_d$, $d \geq 2$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0904.2876
dc.identifierhttp://arxiv.org/abs/0904.2876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227615
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.titleBiholomorphisms of the unit ball of C^n and semicrossed products
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