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Order preserving limits of finite-dimensional nest algebras.

Hopenwasser, Alan and Power, Stephen C. (2002) Order preserving limits of finite-dimensional nest algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 133 (1). pp. 77-108. ISSN 0305-0041

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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.

    Item Type: Article
    Journal or Publication Title: Mathematical Proceedings of the Cambridge Philosophical Society
    Additional Information: http://journals.cambridge.org/action/displayJournal?jid=PSP The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 133 (1), pp 77-108 2002, © 2002 Cambridge University Press.
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 19284
    Deposited By: ep_ss_importer
    Deposited On: 20 Nov 2008 11:20
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Oct 2013 13:12
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/19284

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