Cohn path algebras of higher-rank graphs

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 $TΛ$ such that the Cohn path algebra of $Λ$ is isomorphic to the Kumjian-Pask algebra of $TΛ$. 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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