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Equivariantization and Serre Duality I

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Abstract

For an additive category with a Serre duality and a finite group action, we compute explicitly the Serre duality on the category of equivariant objects. We prove that under certain conditions, the equivarianzation of an additive category with a periodic Serre duality still has a periodic Serre duality. A similar result is proved for fractionally Calabi-Yau triangulated categories.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People’s Republic of China

    Xiao-Wu Chen

  2. Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, Hefei, 230026, Anhui, People’s Republic of China

    Xiao-Wu Chen

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  1. Xiao-Wu Chen
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Correspondence to Xiao-Wu Chen.

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Chen, XW. Equivariantization and Serre Duality I. Appl Categor Struct 25, 539–568 (2017). https://doi.org/10.1007/s10485-016-9432-4

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  • DOI: https://doi.org/10.1007/s10485-016-9432-4

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