Purely infinite simple Leavitt path algebras

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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 the corresponding result for the Cuntz-Krieger C$^*$-algebra C$^*$(E) given in [7].

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Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/94775

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509496
 http://arxiv.org/abs/math/0509496

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arXiv