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C*-equivalences of graphs

D. Drinen·N. Sieben
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Abstract

Several relations on graphs, including primitive equivalence, explosion equivalence and strong shift equivalence, are examined and shown to preserve either the graph groupoid, a construction of Kumjian, Pask, Raeburn, and Renault, or the groupoid of a pointed version of the graph. Thus these relations preserve either the isomorphism class or the Morita equivalence class of the graph C*-algebra, as defined by Kumjian, Pask, and Raeburn.

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D. Drinen, N. Sieben. 1999-02-03. C*-equivalences of graphs. https://arxiv.org/abs/math/9810100

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