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Order preserving limits of finite-dimensional nest algebras.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Order preserving limits of finite-dimensional nest algebras. / Hopenwasser, Alan; Power, Stephen C.
In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 133, No. 1, 01.07.2002, p. 77-108.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hopenwasser, A & Power, SC 2002, 'Order preserving limits of finite-dimensional nest algebras.', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 133, no. 1, pp. 77-108. https://doi.org/10.1017/S0305004101005709

APA

Hopenwasser, A., & Power, S. C. (2002). Order preserving limits of finite-dimensional nest algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 133(1), 77-108. https://doi.org/10.1017/S0305004101005709

Vancouver

Hopenwasser A, Power SC. Order preserving limits of finite-dimensional nest algebras. Mathematical Proceedings of the Cambridge Philosophical Society. 2002 Jul 1;133(1):77-108. doi: 10.1017/S0305004101005709

Author

Hopenwasser, Alan ; Power, Stephen C. / Order preserving limits of finite-dimensional nest algebras. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2002 ; Vol. 133, No. 1. pp. 77-108.

Bibtex

@article{6d70d16bdb9f431584d72c8cb7660f03,
title = "Order preserving limits of finite-dimensional nest algebras.",
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.",
author = "Alan Hopenwasser and Power, {Stephen C.}",
note = "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, {\textcopyright} 2002 Cambridge University Press.",
year = "2002",
month = jul,
day = "1",
doi = "10.1017/S0305004101005709",
language = "English",
volume = "133",
pages = "77--108",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Order preserving limits of finite-dimensional nest algebras.

AU - Hopenwasser, Alan

AU - Power, Stephen C.

N1 - 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.

PY - 2002/7/1

Y1 - 2002/7/1

N2 - 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.

AB - 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.

U2 - 10.1017/S0305004101005709

DO - 10.1017/S0305004101005709

M3 - Journal article

VL - 133

SP - 77

EP - 108

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -