Cohn path algebras of higherrank graphs
Abstract
In this article, we introduce Cohn path algebras of higherrank graphs. We prove that for a higherrank graph $\Lambda $, there exists a higherrank graph $T\Lambda $ such that the Cohn path algebra of $\Lambda $ is isomorphic to the KumjianPask algebra of $T\Lambda $. We then use this isomorphism and properties of KumjianPask algebras to study Cohn path algebras. This includes proving a uniqueness theorem for Cohn path algebras.
 Publication:

arXiv eprints
 Pub Date:
 March 2016
 arXiv:
 arXiv:1604.00072
 Bibcode:
 2016arXiv160400072O
 Keywords:

 Mathematics  Rings and Algebras