Purely infinite simple Leavitt path algebras

Abstract

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${}^{\ast }$-algebra C${}^{\ast }$(E) given in [7].

References in corpus (1)

• Nonstable $K$-theory for graph algebras