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arxiv: math/0603037 · v2 · submitted 2006-03-02 · 🧮 math.OA

Removing sources from higher-rank graphs

classification 🧮 math.OA
keywords lambdahigher-ranksourcesalgebracuntz-kriegergraphconstructioncontains
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For a higher-rank graph $\Lambda$ with sources we detail a construction that creates a higher-rank graph $\bar{\Lambda}$ that does not have sources and contains $\Lambda$ as a subgraph. Furthermore, when $\Lambda$ is row-finite, the Cuntz-Krieger algebra of $\Lambda$ is a full corner of $C^*(\bar{\Lambda})$, the Cuntz-Krieger algebra of $\bar{\Lambda}$.

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