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

| PDF (download4.pdf) Download (765Kb) | Preview |

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: | 09 Oct 2013 13:14 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/19644 |

### Actions (login required)

View Item |