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Limits of finite dimensional nest algebras
Published online by Cambridge University Press: 26 July 2002
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.
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- 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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