# The Leavitt path algebra of a graph

@article{Abrams2005TheLP,
title={The Leavitt path algebra of a graph},
author={Gene Abrams and Gonzalo Aranda Pino},
journal={Journal of Algebra},
year={2005},
volume={293},
pages={319-334}
}
• Published 2005
• Mathematics
• Journal of Algebra
Abstract For any row-finite graph E and any field K we construct the Leavitt path algebra L ( E ) having coefficients in K . When K is the field of complex numbers, then L ( E ) is the algebraic analog of the Cuntz–Krieger algebra C ∗ ( E ) described in [I. Raeburn, Graph algebras, in: CBMS Reg. Conf. Ser. Math., vol. 103, Amer. Math. Soc., 2005]. The matrix rings M n ( K ) and the Leavitt algebras L ( 1 , n ) appear as algebras of the form L ( E ) for various graphs E . In our main result, we… Expand
332 Citations
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