Power, Stephen C. and Hopenwasser, A. L. (1993) Classification of limits of upper triangular matrix algebras. Proceedings of the Edinburgh Mathematical Society, 36 (1). pp. 107-121. ISSN 0013-0915
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Official URL: http://dx.doi.org/10.1017/S0013091500005927
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Proceedings of the Edinburgh Mathematical Society |
| Additional Information: | 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. |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 19644 |
| Deposited By: | ep_ss_importer |
| Deposited On: | 11 Nov 2008 12:44 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 15:33 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/19644 |
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