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.

中文翻译：

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与未加权Leavitt路径代数同构的加权Leavitt路径代数

令K为一个场。我们对行有限加权图（E，w）进行刻画，以使加权Leavitt路径代数L _K（E，w）同构为未加权Leavitt路径代数。此外，我们证明如果L _K（E，w）是局部有限的，或者是Noetherian或Artinian或von Neumann正则，或者具有有限的Gelfand-Kirillov维数，则L _K（E，w）是同构的，是未加权的Leavitt路径代数。