Cohn Path Algebras of Higher-Rank Graphs

  title={Cohn Path Algebras of Higher-Rank Graphs},
  author={Lisa Orloff Clark and Yosafat E. P. Pangalela},
  journal={Algebras and Representation Theory},
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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