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Classification of limits of upper triangular matrix algebras.

Research output: Contribution to journalJournal article

Published

Journal publication date02/1993
JournalProceedings of the Edinburgh Mathematical Society
Journal number1
Volume36
Number of pages15
Pages107-121
Original languageEnglish

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.

Bibliographic 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, © 1993 Cambridge University Press.