Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nest Representations of TAF Algebras   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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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc