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arXiv · 1304.0749

Untwisting a twisted Calabi-Yau algebra

Jake Goodman·Ulrich Kraehmer
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Abstract

Twisted Calabi-Yau algebras are a generalisation of Ginzburg's notion of Calabi-Yau algebras. Such algebras A come equipped with a modular automorphism σ\in Aut(A), the case σ= id being precisely the original class of Calabi-Yau algebras. Here we prove that every twisted Calabi-Yau algebra may be extended to a Calabi-Yau algebra. More precisely, we show that if A is a twisted Calabi-Yau algebra with modular automorphism σ, then the smash product algebras A \rtimes_σN and A \rtimes_σZ are Calabi-Yau.

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Jake Goodman, Ulrich Kraehmer. 2013-04-02. Untwisting a twisted Calabi-Yau algebra. https://arxiv.org/abs/1304.0749

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