Smash products of Calabi–Yau algebras by Hopf algebras

@article{Meur2015SmashPO,
  title={Smash products of Calabi–Yau algebras by Hopf algebras},
  author={Patrick Le Meur},
  journal={Journal of Noncommutative Geometry},
  year={2015}
}
  • P. Meur
  • Published 3 December 2015
  • Mathematics
  • Journal of Noncommutative Geometry
Let H be a Hopf algebra and A be an H-module algebra. This article investigates when the smash product A#H is (skew) Calabi-Yau, has Van den Bergh duality or is Artin-Schelter regular or Gorenstein. In particular, if A and H are skew Calabi-Yau, then so is A#H and its Nakayama automorphism is expressed using the ones of A and H. This is based on a description of the inverse dualising complex of A#H when A is a homologically smooth dg algebra and H is homologically smooth and with invertible… 

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