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arxiv: 1106.4361 · v1 · pith:FJ5MYNHVnew · submitted 2011-06-22 · 🧮 math.RA · math.OA

Kumjian-Pask algebras of higher-rank graphs

classification 🧮 math.RA math.OA
keywords algebrashigher-rankkumjian-paskanaloguesanalyzecallcuntz-kriegergraded
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We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras, and analyze their ideal structure.

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