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Limits of finite dimensional nest algebras

Published online by Cambridge University Press:  26 July 2002

ALAN HOPENWASSER  and
STEPHEN C. POWER
ALAN HOPENWASSER
Affiliation:
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487, U.S.A. e-mail: ahopenwa@euler.math.ua.edu
STEPHEN C. POWER
Affiliation:
Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF. e-mail: s.power@lancaster.ac.uk
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Abstract

We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determined, in terms of order indecomposable decompositions, and they are shown to be determined up to inner conjugacy by their induced maps on K0. Classifications of direct systems and limit algebras are obtained in terms of dimension distribution groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 1 , July 2002 , pp. 77 - 108
Copyright
2002 Cambridge Philosophical Society

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