Let be $H$ a finite dimensional semisimple-cosemisimple Hopf $K$-algebra, and let $A$ be a finite dimensional $H$-module algebra and $H*= Hom_{K}(H, K). Is $A$ a direct summand of $A#H#H*$ as $A$-bimodules?
A question about the smash product
user9078
- 21
- 3