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arXiv · 1108.3726

Irreducible representations of Leavitt path algebras

Xiao-Wu Chen
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Abstract

We construct some irreducible representations of the Leavitt path algebra of an arbitrary quiver. The constructed representations are associated to certain algebraic branching systems. For a row-finite quiver, we classify algebraic branching systems, to which irreducible representations of the Leavitt path algebra are associated. For a certain quiver, we obtain a faithful completely reducible representation of the Leavitt path algebra. The twisted representations of the constructed ones under the scaling action are studied.

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Xiao-Wu Chen. 2011-08-18. Irreducible representations of Leavitt path algebras. https://arxiv.org/abs/1108.3726

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