On prime nonprimitive von Neumann regular algebras

Abrams, Gene; Bell, Jason; Rangaswamy, Kulumani

doi:10.1090/S0002-9947-2014-05878-9

On prime nonprimitive von Neumann regular algebras
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by Gene Abrams, Jason P. Bell and Kulumani M. Rangaswamy PDF

Trans. Amer. Math. Soc. 366 (2014), 2375-2392 Request permission

Abstract:

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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