Purely infinite simple Leavitt path algebras

Details Purely infinite simple Leavitt path algebras Purely infinite simple Leavitt path algebras

2005-09-21

arxiv.org/abs/math/0509496v1

Mathematics

Rings and Algebras

Scientific paper

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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