Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Similarity degree of a class of C$^*$-algebras   Suppose that $\mathcal M$ is a countably decomposable type II$_1$ von Neumann
algebra and $\mathcal A$ is a separable, non-nuclear, unital C$^*$-algebra. We
show that, if $\mathcal M$ has Property $\Gamma$, then the similarity degree of
$\mathcal M$ is less than or equal to $5$. If $\mathcal A$ has Property
c$^*$-$\Gamma$, then the similarity degree of $\mathcal A$ is equal to $3$. In
particular, the similarity degree of a $\mathcal Z$-stable, separable,
non-nuclear, unital C$^*$-algebra is equal to $3$.

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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph