Reyes–Rogalski–Zhang's homological determinant conjecture for Nakayama automorphisms

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 algebra, then

$$\operatorname{hdet}(\nu)=1.$$

The paper proves this assertion for $m$-Koszul AS-regular algebras without assuming noetherianity, extending the previously known noetherian and Koszul cases; the general conjecture is presented as a possible strengthening of an earlier conjecture.