Iterated Leavitt Path Algebras

Details Iterated Leavitt Path Algebras Iterated Leavitt Path Algebras

2009-08-06

arxiv.org/abs/0908.0837v2

Mathematics

Rings and Algebras

This paper has been expanded and now appears on the arXiv as a new paper entitle "The graded structure of Leavitt path algebra

Scientific paper

Leavitt path algebras associate to directed graphs a $\mathbb Z$-graded algebra and in their simplest form recover the Leavitt algebras L(1,n). In this note, we introduce iterated Leavitt path algebras associated to directed weighted graphs which have natural $\oplus \mathbb Z$ grading and in their simplest form recover the Leavitt algebras $L(n,k)$. We also characterize Leavitt path algebras which are strongly graded.

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