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arXiv · 2004.06075

On the centroid of a Leavitt path algebra

Daniel Gonçalves·Dolores Martín Barquero·Cándido Martín González·Mercedes Siles Molina
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Abstract

We describe the centroid of some Leavitt path algebras. More precisely, we show that for Leavitt path algebras over a field $K$ that are simple its centroid is isomorphic to $K$, and for prime Leavitt path algebras its centroid is isomorphic to $K$ except if the graph is a row-finite comet, in which case the centroid is isomorphic to $K[x,x^{-1}]$.

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Daniel Gonçalves, Dolores Martín Barquero, Cándido Martín González, Mercedes Siles Molina. 2020-04-13. On the centroid of a Leavitt path algebra. https://arxiv.org/abs/2004.06075

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