Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition of Topological Azumaya Algebras   Let $\mathcal{A}$ be a topological Azumaya algebra of degree $mn$ over a CW
complex $X$. We give conditions for the positive integers $m$ and $n$, and the
space $X$ so that $\mathcal{A}$ can be decomposed as the tensor product of
topological Azumaya algebras of degrees $m$ and $n$. Then we prove that if
$m<n$ and the dimension of $X$ is higher than $2m+1$, $\mathcal{A}$ may not
have such decomposition.

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The categories of this paper are: comp-gas
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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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: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org