On prime non-primitive von Neumann regular algebras

preprint2011arXivOpen access

Let $E$ be any directed graph, and $K$ any field. We classify those graphs $E$ for which the Leavitt path algebra $L_K(E)$ is primitive. As a consequence, we obtain classes of examples of von Neumann regular prime rings which are not primitive.

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On prime non-primitive von Neumann regular algebras

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