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arXiv · 2503.18184

Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra

Jehan Alarfaj·Dolores Martín Barquero·Ashish K. Srivastava
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Abstract

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.

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Jehan Alarfaj, Dolores Martín Barquero, Ashish K. Srivastava. 2025-03-23. Leavitt Path Algebra over Kronecker Square of Quivers and Cross product algebra. https://arxiv.org/abs/2503.18184

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