Noncommutative Kn\"orrer periodicity via equivariantization
Abstract
We establish noncommutative Kn\"orrer 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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