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

2013/11/13 by Mariano Suárez-Alvarez, Suárez-Alvarez, Mariano
Mathematics · #16E40 #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT #msc:16E40

paper · pdf · doi:10.48550/arxiv.1311.3339

4 pages

arxiv created 2013/11/13 · arxiv updated 2013/11/15

Abstract

Jake Goodman and Ulrich Krähmer have recently shown that a twisted Calabi-Yau algebra A with modular automorphism σ and dimension d can be "untwisted," in the sense that the Ore extensions A[X;σ] and A[X±1;σ] are Calabi-Yau algebras of dimension d+1. In this note we show that this in fact extends more generally to the case where we start with an algebra with van den Bergh duality.

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