Crossed-products of Calabi-Yau algebras by finite groups

Details Crossed-products of Calabi-Yau algebras by finite groups Crossed-products of Calabi-Yau algebras by finite groups

2010-06-06

arxiv.org/abs/1006.1082v1

Mathematics

Rings and Algebras

Scientific paper

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.

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