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arXiv · 1603.04985

Decomposable Leavitt path algebras for arbitrary graphs

Gonzalo Aranda Pino·Alireza Nasr-Isfahani
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Abstract

For any field $K$ and for a completely arbitrary graph $E$, we characterize the Leavitt path algebras $L_K(E)$ that are indecomposable (as a direct sum of two-sided ideals) in terms of the underlying graph. When the algebra decomposes, it actually does so as a direct sum of Leavitt path algebras for some suitable graphs. Under certain finiteness conditions, a unique indecomposable decomposition exists.

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Gonzalo Aranda Pino, Alireza Nasr-Isfahani. 2016-03-16. Decomposable Leavitt path algebras for arbitrary graphs. https://doi.org/10.1515/forum-2013-0165

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