Abstract
Let A and B be finite-dimensional algebras over a field k of finite global dimension. Using some results of Gorsky in “Semi-derived Hall algebras and tilting invariance of Bridgeland-Hall algebras”, we prove that if A and B are derived equivalent, then the corresponding m-periodic derived categories are triangulated equivalent.
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Zhao, X. A note on the equivalence of m-periodic derived categories. Sci. China Math. 57, 2329–2334 (2014). https://doi.org/10.1007/s11425-014-4852-9
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DOI: https://doi.org/10.1007/s11425-014-4852-9