Derived equivalences and Cohen-Macaulay Auslander algebras
The paper under review is a generalisation of an earlier paper of the first author [J. Pure Appl. Algebra 216, No. 2, 355--363 (2012; Zbl 1260.16014)]. It is shown that if two Artin algebras of finite Cohen-Macaulay type are related via a standard derived equivalence (i.e.\ induced by a two-sided tilting complex), then their associated Cohen-Macaulay Auslander algebras (i.e.\ the endomorphism algebra of an additive generator for the Gorenstein projective modules) are derived equivalent. The earlier paper proved this in the case of Gorenstein algebras, without the restriction on the form of the derived equivalence. This shows that the Gorenstein projective conjecture is invariant under standard derived equivalence.
Gorenstein projective conjecture, finite Cohen-Macaulay type
scientific article; zbMATH DE number 6511736
scientific article