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<p>In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra over a quiver and its Kronecker square. Furthermore, we discuss the connection of Leavitt path algebra over Kronecker square of a quiver with Hayashi’s face algebra and the cross product algebra construction of the Leavitt path algebra over the original quiver.</p>

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Leavitt Path Algebra Over Kronecker Square of Quivers and Cross Product Algebra

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月14日

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  • Jehan Alarfaj,
  • Dolores Martín Barquero,
  • Ashish K. Srivastava

摘要

In this paper, we initiate the study of Leavitt path algebra over Kronecker square of a quiver and show the similarities and contrasts in the properties of Leavitt path algebra over a quiver and its Kronecker square. Furthermore, we discuss the connection of Leavitt path algebra over Kronecker square of a quiver with Hayashi’s face algebra and the cross product algebra construction of the Leavitt path algebra over the original quiver.