中文

Purely infinite simple Leavitt path algebras

环与代数 2007-05-23 v1

摘要

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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引用

@article{arxiv.math/0509496,
  title  = {Purely infinite simple Leavitt path algebras},
  author = {G. Abrams and G. Aranda Pino},
  journal= {arXiv preprint arXiv:math/0509496},
  year   = {2007}
}