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Nest Representations of TAF Algebras

Alan Hopenwasser·Justin R. Peters·Stephen C. Power
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Abstract

A nest representation of a strongly maximal TAF algebra $A$ is a representation $π$ for which $\operatorname{Lat} π(A) is totally ordered. We prove that if the spectrum of $A$ is totally ordered, or if $\operatorname{Lat} π(A)$ contains an atom, then $\operatorname{ker} π$ is a meet irreducible ideal.

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Alan Hopenwasser, Justin R. Peters, Stephen C. Power. 1999-08-28. Nest Representations of TAF Algebras. https://arxiv.org/abs/math/9905088

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