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Ordinal graphs and their $\mathrm{C}^*$-algebras
We introduce a class of left cancellative categories we call ordinal graphs for which there is a functor $d:Λ\rightarrow\mathrm{Ord}$ by which morphisms of $Λ$ factor. We use generators and relations to study the Cuntz-Krieger algebra $\mathcal{O}\left(Λ\right)$ defined by Spielberg. In particular,
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