Morita Theory for Hopf Algebroids, Principal Bibundles, and Weak Equivalences
Morita Theory for Hopf Algebroids, Principal Bibundles, and Weak Equivalences
We show that two flat commutative Hopf algebroids are Morita equivalent if and only if they are weakly equivalent and if and only if there exists a principal bibundle connecting them. This gives a positive answer to a conjecture due to Hovey and Strickland. We also prove that principal (left) …