Katsura algebra simplicity is completely characterized by explicit matrix conditions (Theorems 5.7, 6.14) and shown to be decidable in polynomial space.
Simplicity of algebras associated to non-Hausdorff groupoids
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On the simplicity of Katsura algebras
Katsura algebra simplicity is completely characterized by explicit matrix conditions (Theorems 5.7, 6.14) and shown to be decidable in polynomial space.