Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Saturation and elementary equivalence of C*-algebras   We study the saturation properties of several classes of $C^*$-algebras.
Saturation has been shown by Farah and Hart to unify the proofs of several
properties of coronas of $\sigma$-unital $C^*$-algebras; we extend their
results by showing that some coronas of non-$\sigma$-unital $C^*$-algebras are
countably degree-$1$ saturated. We then relate saturation of the abelian
$C^*$-algebra $C(X)$, where $X$ is $0$-dimensional, to topological properties
of $X$, particularly the saturation of $CL(X)$.

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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc