Nest Representations of TAF Algebras-Reference-Cited by-同舟云学术

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Nest Representations of TAF Algebras

Published:2000-12-01 Issue:6 Volume:52 Page:1221-1234
ISSN:0008-414X
Container-title:Canadian Journal of Mathematics
language:en
Short-container-title:Can. j. math.

Author:

Hopenwasser Alan,Peters Justin R.,Power Stephen C.

Abstract

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

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Compact operators and nest representations of limit algebras;Transactions of the American Mathematical Society;2007-01-04

2. Meet-irreducible ideals and representations of limit algebras;Journal of Functional Analysis;2003-05

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