descriptionPublicationkeyboard_double_arrow_right Article , Preprint 17 Nov 2000Embargo end date: 01 Jan 1998 English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 353, pages 1,169-1,182 (issn: 0002-9947, eissn: 1088-6850,

Authors: Timothy D. Hudson; Elias G. Katsoulis; Allan P. Donsig;

doi: 10.1090/s0002-9947-00-02714-8 , 10.48550/arxiv.math/9805083

arXiv: http://arxiv.org/abs/math/9805083

Algebraic isomorphisms of limit algebras

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Abstract

We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider the consequences of this result. In particular, we give partial solutions to a conjecture and an open problem by Power. As a further consequence, we describe epimorphisms between various classes of limit algebras.

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East Carolina University
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University of Nebraska System
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University of North Carolina System
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University of Nebraska–Lincoln
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Keywords

limit algebras, Abstract operator algebras on Hilbert spaces, Mathematics - Operator Algebras, automatically continuous, 47D25 (Primary) 46K50, 46H40 (Secondary), Functional Analysis (math.FA), Mathematics - Functional Analysis, Nonselfadjoint (sub)algebras in algebras with involution, FOS: Mathematics, Limit algebras, subalgebras of \(C^*\)-algebras, Operator Algebras (math.OA), Automatic continuity

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