The Leavitt path algebra of a graph
Rings and Algebras
2007-05-23 v1
Abstract
For any row-finite graph and any field we construct the {\its Leavitt path algebra} having coefficients in . When is the field of complex numbers, then is the algebraic analog of the Cuntz Krieger algebra described in [8]. The matrix rings and the Leavitt algebras L(1,n) appear as algebras of the form for various graphs . In our main result, we give necessary and sufficient conditions on which imply that is simple.
Cite
@article{arxiv.math/0509494,
title = {The Leavitt path algebra of a graph},
author = {G. Abrams and G. Aranda Pino},
journal= {arXiv preprint arXiv:math/0509494},
year = {2007}
}