Coactions on Hochschild Homology of Hopf-Galois Extensions and Their Coinvariants

Abdenacer Makhlouf, Dragos Stefan

Let A be an H-Galois extension of B. If M is a Hopf bimodule then HH.(A,M), the Hochschild homology of A with coefficients in M, is a right comodule over the coalgebra C:=H/[H,H].…