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Classification of limits of triangular matrix algebras
Published online by Cambridge University Press: 20 January 2009
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.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 1 , February 1993 , pp. 107 - 121
- Copyright
- Copyright © Edinburgh Mathematical Society 1993
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