4 problems

Auslander's conjecture. The skew group ring $A\#G$ is naturally isomorphic to

Cancellation conjecture.

Let $A$ be an AS regular algebra, and let $G$ be a finite group of graded automorphisms of $A$. A reflection of $A$ is an automorphism of the kind defined in the surrounding discus…

Let $S$ be an AS-regular algebra, and let $u$ be its Nakayama automorphism. The homological determinant conjecture. If $nu$ is the Nakayama automorphism of an AS-regular algeb…