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arXiv · 1806.03077

Representations of relative Cohn path algebras

Cristóbal Gil Canto·Daniel Gonçalves
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Abstract

We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we realize them as partial skew group rings (to do this we prove uniqueness theorems for relative Cohn path algebras). Furthermore, given any graph $E$ we define $E$-relative branching systems and prove how they induce representations of the associated relative Cohn path algebra. We give necessary and sufficient conditions for faithfulness of the representations associated to $E$-relative branching systems (this improves previous results known to Leavitt path algebras of row-finite graphs with no sinks). To prove this last result we show first a version, for relative Cohn-path algebras, of the reduction theorem for Leavitt path algebras.

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Cristóbal Gil Canto, Daniel Gonçalves. 2018-06-08. Representations of relative Cohn path algebras. https://arxiv.org/abs/1806.03077

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