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Classification of limits of upper triangular matrix algebras.

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Classification of limits of upper triangular matrix algebras. / Power, Stephen C.; Hopenwasser, A. L.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 36, No. 1, 02.1993, p. 107-121.

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

Harvard

Power, SC & Hopenwasser, AL 1993, 'Classification of limits of upper triangular matrix algebras.', Proceedings of the Edinburgh Mathematical Society, vol. 36, no. 1, pp. 107-121. https://doi.org/10.1017/S0013091500005927

APA

Power, S. C., & Hopenwasser, A. L. (1993). Classification of limits of upper triangular matrix algebras. Proceedings of the Edinburgh Mathematical Society, 36(1), 107-121. https://doi.org/10.1017/S0013091500005927

Vancouver

Power SC, Hopenwasser AL. Classification of limits of upper triangular matrix algebras. Proceedings of the Edinburgh Mathematical Society. 1993 Feb;36(1):107-121. doi: 10.1017/S0013091500005927

Author

Power, Stephen C. ; Hopenwasser, A. L. / Classification of limits of upper triangular matrix algebras. In: Proceedings of the Edinburgh Mathematical Society. 1993 ; Vol. 36, No. 1. pp. 107-121.

Bibtex

@article{34b57a53311048b1a42c6d121c7d9305,
title = "Classification of limits of upper triangular matrix algebras.",
abstract = "Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are alternately of standard and refinement type; (ii) limit algebras associated with refinement embeddings with a single column twist; (iii) limit algebras determined by certain homogeneous embeddings. The last family is related to certain fractal like subsets of the unit square.",
author = "Power, {Stephen C.} and Hopenwasser, {A. L.}",
note = "http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 36 (1), pp 107-121 1993, {\textcopyright} 1993 Cambridge University Press.",
year = "1993",
month = feb,
doi = "10.1017/S0013091500005927",
language = "English",
volume = "36",
pages = "107--121",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Classification of limits of upper triangular matrix algebras.

AU - Power, Stephen C.

AU - Hopenwasser, A. L.

N1 - http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 36 (1), pp 107-121 1993, © 1993 Cambridge University Press.

PY - 1993/2

Y1 - 1993/2

N2 - Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are alternately of standard and refinement type; (ii) limit algebras associated with refinement embeddings with a single column twist; (iii) limit algebras determined by certain homogeneous embeddings. The last family is related to certain fractal like subsets of the unit square.

AB - Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are alternately of standard and refinement type; (ii) limit algebras associated with refinement embeddings with a single column twist; (iii) limit algebras determined by certain homogeneous embeddings. The last family is related to certain fractal like subsets of the unit square.

U2 - 10.1017/S0013091500005927

DO - 10.1017/S0013091500005927

M3 - Journal article

VL - 36

SP - 107

EP - 121

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 1

ER -