Twisted Calabi-Yau property of Ore extensions
Abstract
Suppose that E=A[x;σ,δ] is an Ore extension with σ an automorphism. It is proved that if A is twisted Calabi-Yau of dimension d, then E is twisted Calabi-Yau of dimension d+1. The relation between their Nakayama automorphisms is also studied. As an application, the Nakayama automorphisms of a class of 5-dimensional Artin-Schelter regular algebras are given explicitly.
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