Calabi-Yau property under monoidal Morita-Takeuchi equivalence

Xingting Wang, Xiaolan Yu, Yinhuo Zhang

Let $H$ and $L$ be two Hopf algebras such that their comodule categories are monoidal equivalent. We prove that if $H$ is a twisted Calabi-Yau (CY) Hopf algebra, then $L$ is a twis…