Untwisting a twisted Calabi-Yau algebra
Quantum Algebra
2013-04-03 v1 K-Theory and Homology
Abstract
Twisted Calabi-Yau algebras are a generalisation of Ginzburg's notion of Calabi-Yau algebras. Such algebras A come equipped with a modular automorphism \sigma \in Aut(A), the case \sigma = id being precisely the original class of Calabi-Yau algebras. Here we prove that every twisted Calabi-Yau algebra may be extended to a Calabi-Yau algebra. More precisely, we show that if A is a twisted Calabi-Yau algebra with modular automorphism \sigma, then the smash product algebras A \rtimes_\sigma N and A \rtimes_\sigma Z are Calabi-Yau.
Cite
@article{arxiv.1304.0749,
title = {Untwisting a twisted Calabi-Yau algebra},
author = {Jake Goodman and Ulrich Kraehmer},
journal= {arXiv preprint arXiv:1304.0749},
year = {2013}
}