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Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras

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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 LK(E, w) is isomorphic to an unweighted Leavitt path algebra. Moreover, we prove that if LK(E, w) is locally finite, or Noetherian, or Artinian, or von Neumann regular, or has finite Gelfand-Kirillov dimension, then LK(E, w) is isomorphic to an unweighted Leavitt path algebra.

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  1. Universidade de Brasilia, Brasilia, Brazil

    Raimund Preusser

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  1. Raimund Preusser
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Correspondence to Raimund Preusser.

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Presented by: Christof Geiss

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Preusser, R. Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras. Algebr Represent Theor 24, 403–423 (2021). https://doi.org/10.1007/s10468-020-09953-1

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  • DOI: https://doi.org/10.1007/s10468-020-09953-1

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