Algebraic Isomorphism of Limit Algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider consequences of this result. In particular, we give partial solutions to a conjecture of Power [Limit Algebras, Longman, 1992, Notes to Chapter 8] and to an open problem [op. cit., Problem 7.8]. As a further consequence, we describe epimorphisms between various classes of limit algebras.
13 pages

Keywords

Operator Algebras, Functional Analysis, 47D25 (Primary) 46K50, 46H40 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/76940

Consulte el texto completo en el siguiente enlace:

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

Collections

arXiv