Drinfeld-Xu 2-cocycles twist the antipode of bialgebroids by conjugation with an invertible V_F derived from the cocycle when the original antipode is invertible.
B\" o hm , An alternative notion of Hopf algebroid , in: Hopf algebras in noncommutative geometry and physics, Lecture Notes in Pure and Appl
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Drinfeld-Xu bialgebroid 2-cocycles twist the antipode
Drinfeld-Xu 2-cocycles twist the antipode of bialgebroids by conjugation with an invertible V_F derived from the cocycle when the original antipode is invertible.