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Noncommutative Knörrer periodicity via equivariantization (2509.05725v1)
Published 6 Sep 2025 in math.RA, math-ph, math.MP, and math.RT
Abstract: We establish noncommutative Kn\"{o}rrer periodicity for projective-module factorizations over an arbitrary ring, using the equivariantization theory with respect to various actions by a cyclic group of order two. We obtain an explicit quasi-inverse of the periodicity. We compare the periodicity with a certain tensor functor between big singularity categories.
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