Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Cuntz--Krieger uniqueness theorem for semigraph $C^*$-algebras   Higher rank semigraph algebras are introduced by mixing concepts of
ultragraph algebras and higher rank graph algebras. This yields a kind of
higher rank generalisation of ultragraph algebras. We prove Cuntz--Krieger
uniqueness theorems for cancelling semigraph algebras and aperiodic full
semigraph algebras.

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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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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: mtrl-th
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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: q-fin