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Noncommutative Auslander Theorem for PI algebras
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Speaker(s): Ruipeng Zhu(PhD)
Time: Aug, 6,2021, 14:30 - 15:30
Venue: 201 Jinqizhigu Building, No.1 Tangling Road, Nanshan District, Shenzhen

Abstract

Let R be a Noetherian PI connected graded Artin-Schelter regular do -main of GK-dimension d ≥ 2, and H be a semisimple Hopf algebra acting on R inner faithfully and homogeneously. Suppose that the homological determinant of the H-action is trivial. In this talk, we prove that, if the natural map φ : R#H → End RH (R), r#h → (xr(h · x)) is injective, then it is also surjective.