Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative manifolds from graph and $k$-graph $C^*$-algebras   In previous papers, we constructed smooth (1,\infty)-summable semfinite
spectral triples for graph algebras with a faithful trace, and
(k,\infty)-summable semifinite spectral triples for k-graph algebras. In this
paper we identify classes of graphs and k-graphs which satisfy a version of
Connes' conditions for noncommutative manifolds.

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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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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: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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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: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys