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arXiv · 2310.15073

Nuclear dimension of graph C$^*$-algebras with Condition~(K)

Gregory Faurot·Christopher Schafhauser
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Abstract

We prove that for any countable directed graph $E$ with Condition~(K), the associated graph $C^*$-algebra $C^*(E)$ has nuclear dimension at most $2$. Furthermore, we provide a sufficient condition producing an upper bound of $1$.

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Gregory Faurot, Christopher Schafhauser. 2023-10-23. Nuclear dimension of graph C$^*$-algebras with Condition~(K). https://doi.org/10.1090/proc/16930

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