Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebra whose subalgebras are characterized by density   We refine a construction of Choi, Farah and Ozawa to build a nonseparable
amenable operator algebra $\mathcal A\subseteq\ell_\infty(M_2)$ whose
nonseparable subalgebras, including $\mathcal A$, are not isomorphic to a
$C^*$-algebra. This is done using a Luzin gap and a uniformly bounded group
representation.
  Next, we study additional properties of $\mathcal A$ and of its separable
subalgebras, related to the Kadison Kastler metric.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas