Nest Representations of TAF Algebras

Details Nest Representations of TAF Algebras Nest Representations of TAF Algebras

1999-05-14

arxiv.org/abs/math/9905088v2

Mathematics

Operator Algebras

AMS-LaTeX, 17 pages. Revised version corrects a misstatement in the expository material of the main theorem in section 3. Othe

Scientific paper

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

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