Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt path algebras

Raimund Preusser

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arXiv · 1907.02817

Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt path algebras

Raimund Preusser

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Abstract

Let $K$ be a field. We characterise the row-finite weighted graphs $(E,w)$ such that the weighted Leavitt path algebra $L_K(E,w)$ is isomorphic to an unweighted Leavitt path algebra. Moreover, we prove that if $L_K(E,w)$ is locally finite, or Noetherian, or Artinian, or von Neumann regular, or has finite Gelfand-Kirillov dimension, then $L_K(E,w)$ is isomorphic to an unweighted Leavitt path algebra.

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BibTeX RIS

Raimund Preusser. 2019-07-05. Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt path algebras. https://arxiv.org/abs/1907.02817

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