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Jake Goodman and Ulrich Kr\"ahmer have recently shown that a twistedCalabi-Yau algebra $A$ with modular automorphism $\sigma$ and dimension $d$ canbe "untwisted," in the sense that the Ore extensions $A[X;\sigma]$ and$A[X^{\pm1};\sigma]$ are Calabi-Yau algebras of dimension $d+1$. In this notewe show that this in fact extends more generally to the case where we startwith an algebra with van den Bergh duality.

Untwisting algebras with van den Bergh duality into Calabi-Yau algebras