Hopenwasser, Alan and Peters, Justin R. and Power, Stephen C. (2000) *Nest representations of TAF algebras.* Canadian Journal of Mathematics, 52 (6). pp. 1221-1234. ISSN 0008-414X

## Abstract

A nest representation of a strongly maximal TAF algebra $A$ with diagonal $D$ is a representation $\pi$ for which $\lat \pi(A)$ is totally ordered. We prove that $\ker \pi$ is a meet irreducible ideal if the spectrum of $A$ is totally ordered or if (after an appropriate similarity) the von Neumann algebra $\pi(D)''$ contains an atom.

Item Type: | Article |
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Journal or Publication Title: | Canadian Journal of Mathematics |

Uncontrolled Keywords: | nest representation ; meet irreducible ideal ; strongly maximal TAF algebra |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 19352 |

Deposited By: | ep_ss_importer |

Deposited On: | 17 Nov 2008 14:44 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 07 May 2016 00:00 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/19352 |

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