Cohn Path Algebras of Higher-Rank Graphs |
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Authors: | Lisa Orloff Clark Yosafat E P Pangalela |
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Institution: | 1.Department of Mathematics and Statistics,University of Otago,Dunedin,New Zealand |
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Abstract: | In this article, we introduce Cohn path algebras of higher-rank graphs. We prove that for a higher-rank graph Λ, there exists a higher-rank graph T Λ such that the Cohn path algebra of Λ is isomorphic to the Kumjian-Pask algebra of T Λ. We then use this isomorphism and properties of Kumjian-Pask algebras to study Cohn path algebras. This includes proving a uniqueness theorem for Cohn path algebras. |
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