Kumjian-Pask algebras of higher-rank graphs

Aranda Pino, Gonzalo; Clark, John; an Huef, Astrid; Raeburn, Iain

doi:10.1090/S0002-9947-2013-05717-0

Kumjian-Pask algebras of higher-rank graphs
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by Gonzalo Aranda Pino, John Clark, Astrid an Huef and Iain Raeburn PDF

Trans. Amer. Math. Soc. 365 (2013), 3613-3641 Request permission

Abstract:

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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