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arXiv · 1604.00072

Cohn path algebras of higher-rank graphs

Lisa Orloff Clark·Yosafat E. P. Pangalela
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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 $\Lambda $, there exists a higher-rank graph $T\Lambda $ such that the Cohn path algebra of $\Lambda $ is isomorphic to the Kumjian-Pask algebra of $T\Lambda $. 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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BibTeXRIS

Lisa Orloff Clark, Yosafat E. P. Pangalela. 2016-03-31. Cohn path algebras of higher-rank graphs. https://arxiv.org/abs/1604.00072

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