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arXiv · 2012.15364

Lifting spectral triples to noncommutative principal bundles

Kay Schwieger·Stefan Wagner
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Abstract

Given a free action of a compact Lie group $G$ on a unital C*-algebra $\mathcal{A}$ and a spectral triple on the corresponding fixed point algebra $\mathcal{A}^G$, we present a systematic and in-depth construction of a spectral triple on $\mathcal{A}$ that is build upon the geometry of $\mathcal{A}^G$ and $G$. We compare our construction with a selection of established examples.

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BibTeXRIS

Kay Schwieger, Stefan Wagner. 2020-12-30. Lifting spectral triples to noncommutative principal bundles. https://doi.org/10.1016/j.aim.2021.108160

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