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Graded homotopy classification of Leavitt path algebras (2309.06312v1)
Published 12 Sep 2023 in math.KT, math.OA, and math.RA
Abstract: We show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classification techniques for Leavitt path algebras by means of (graded, bivariant) algebraic $K$-theory.
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