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Classification of limits of triangular matrix algebras

Published online by Cambridge University Press:  20 January 2009

A. Hopenwasser  and
S. C. Power
A. Hopenwasser
Affiliation:
Department of MathematicsUniversity of AlabamaTuscaloosa, AL 35487, USA
S. C. Power
Affiliation:
Department of MathematicsUniversity of LancasterLancaster LA1 4YL, England
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Abstract

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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

References

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