Algebraic Isomorphism of Limit Algebras
Operator Algebras
2007-05-23 v2 Functional Analysis
Abstract
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.
Cite
@article{arxiv.math/9805083,
title = {Algebraic Isomorphism of Limit Algebras},
author = {Allan P. Donsig and Tim D. Hudson and Elias G. Katsoulis},
journal= {arXiv preprint arXiv:math/9805083},
year = {2007}
}
Comments
13 pages