Necessary and sufficient conditions for pure infiniteness of path groupoid C*-algebras of row-finite graphs without sinks are given by showing essential principality plus a basis of (G_E^a, 2, 1)-paradoxical sets are equivalent to the property.
The ideal structure of the C∗-algebras of infinite graphs
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Pure infiniteness and paradoxicality for graph $C^*$-algebras
Necessary and sufficient conditions for pure infiniteness of path groupoid C*-algebras of row-finite graphs without sinks are given by showing essential principality plus a basis of (G_E^a, 2, 1)-paradoxical sets are equivalent to the property.