Generalized Yetter-Drinfeld modules are shown to be the relative center of a category of modules, and they assemble into a double groupoid-crossed braided bicategory.
Brzezi´ nski,Hopf-cyclic homology with contramodule coefficients, in Quantum groups and noncommutative spaces, 1–8, 2008
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Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories
Generalized Yetter-Drinfeld modules are shown to be the relative center of a category of modules, and they assemble into a double groupoid-crossed braided bicategory.