Leavitt path algebra via the singularity category of a radical-square-zero algebra

Abstract: We will recall some previous work primarily by Paul Smith, and show that the Leavitt path algebra is closely related to the singularity category of a finite dimensional radical-square-zero algebra. Recently, we apply such a link to confirm Keller's conjecture for a radical-square-zero algebra. More precisely, we prove that for such an algebra, the singular Hochschild cochain complex is B_\infinity-isomorphic to the Hochschild cochain complex of the dg singularity category. This is based on a joint work with Huanhuan Li and Zhengfang Wang.

operator algebrasrings and algebras

Audience: researchers in the topic

Western Sydney University Abend Seminars

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