Crossed-products of Calabi-Yau algebras by finite groups
Résumé
Let a finite group G act on a differential graded Calabi-Yau algebra A over a field whose characteristic does not divide the order of G. This note studies when the crossed-product of A by G is still Calabi-Yau. Under a compatibility condition between the action of G on A and the Calabi-Yau structure of A, it is proved that this is indeed the case. Similar results are proved for general constructions of Calabi-Yau algebras such as deformed Calabi-Yau completions and Ginzburg algebras.
Domaines
Anneaux et algèbres [math.RA]
Origine : Fichiers produits par l'(les) auteur(s)