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}
}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…
4 Citations
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