Lifting Spectral Triples to Noncommutative Principal Bundles
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OWP2021_02.pdf (703.8Kb)Date
2021-01-11MFO Scientific Program
Research in Pairs 2019Series
Oberwolfach Preprints;2021-02Metadata
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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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