# The graded structure of Leavitt path algebras

@article{Hazrat2010TheGS,
title={The graded structure of Leavitt path algebras},
author={Roozbeh Hazrat},
journal={Israel Journal of Mathematics},
year={2010},
volume={195},
pages={833-895}
}
• R. Hazrat
• Published 2010
• Mathematics
• Israel Journal of Mathematics
A Leavitt path algebra associates to a directed graph a ℤ-graded algebra and in its simplest form it recovers the Leavitt algebra L(1, k). In this note, we first study this ℤ-grading and characterize the (ℤ-graded) structure of Leavitt path algebras, associated to finite acyclic graphs, Cn-comet, multi-headed graphs and a mixture of these graphs (i.e., polycephaly graphs). The last two types are examples of graphs whose Leavitt path algebras are strongly graded. We give a criterion when a… Expand
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