Lifting spectral triples to noncommutative principal bundles
Operator Algebras
2022-01-24 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
Given a free action of a compact Lie group on a unital C*-algebra and a spectral triple on the corresponding fixed point algebra , we present a systematic and in-depth construction of a spectral triple on that is build upon the geometry of and . We compare our construction with a selection of established examples.
Cite
@article{arxiv.2012.15364,
title = {Lifting spectral triples to noncommutative principal bundles},
author = {Kay Schwieger and Stefan Wagner},
journal= {arXiv preprint arXiv:2012.15364},
year = {2022}
}