Limits of Finite Dimensional Nest Algebras

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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 $K_0$. Classifications of direct systems and limit algebras are obtained in terms of dimension distribution groups.
Approximately 37 pages. Minor revisions

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Operator Algebras, 47L40 (Primary); 47L35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59459

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006172
 http://arxiv.org/abs/math/0006172

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arXiv