G. Abrams

most citedThe Leavitt path algebra of a graph

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math.RA2005

Purely infinite simple Leavitt path algebras

G. Abrams, G. Aranda Pino

We give necessary and sufficient conditions on a row-finite graph E so that the Leavitt path algebra L(E) is purely infinite simple. This result provides the algebraic analog to th…

math.RA2005★ 6 cited

The Leavitt path algebra of a graph

G. Abrams, G. Aranda Pino

For any row-finite graph $E$ and any field $K$ we construct the {\its Leavitt path algebra} $L (E)$ having coefficients in $K$ . When $K$ is the field of complex numbers, then $L (E)$ …