# Cohn Path Algebras of Higher-Rank Graphs

@article{Clark2016CohnPA, title={Cohn Path Algebras of Higher-Rank Graphs}, author={Lisa Orloff Clark and Yosafat E. P. Pangalela}, journal={Algebras and Representation Theory}, year={2016}, volume={20}, pages={47-70} }

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.

#### 2 Citations

Analogues of Leavitt path algebras for higher-rank graphs

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- 2017

Directed graphs and their higher-rank analogues provide an intuitive framework to study a class of C∗-algebras which we call graph algebras. The theory of graph algebras has been developed by a… Expand

The Groupoid Approach to Leavitt Path Algebras

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- 2018

When the theory of Leavitt path algebras was already quite advanced, it was discovered that some of the more difficult questions were susceptible to a new approach using topological groupoids. The… Expand

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