Iterated Leavitt Path Algebras

R. Hazrat

Iterated Leavitt Path Algebras

Rings and Algebras 2010-05-12 v2

Authors: R. Hazrat

Abstract

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.

Keywords

leavitt path algebras algebra classification and gradings associative algebras

Cite

@article{arxiv.0908.0837,
  title  = {Iterated Leavitt Path Algebras},
  author = {R. Hazrat},
  journal= {arXiv preprint arXiv:0908.0837},
  year   = {2010}
}

Comments

This paper has been expanded and now appears on the arXiv as a new paper entitle "The graded structure of Leavitt path algebras". This submission has been withdrawn by the author.

Iterated Leavitt Path Algebras

Abstract

Keywords

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