The ozone groups of PI Artin-Schelter regular algebras are abelian

Abstract

We prove that the ozone group of any PI Artin-Schelter regular algebra is abelian, which answers a question of Chan-Gaddis-Won-Zhang. For any Calabi-Yau PI Artin-Schelter regular algebra, we prove that the homological determinant of its ozone group acting on it is trivial.

A theorem concerning Nakayama automorphism is now formulated in a more genral setting