An Atiyah Sequence for Noncommutative Principal Bundles
Operator Algebras
2022-03-08 v3 Differential Geometry
Abstract
We present a derivation-based Atiyah sequence for noncommutative principal bundles. Along the way we treat the problem of deciding when a given -automorphism on the quantum base space lifts to a -automorphism on the quantum total space that commutes with the underlying structure group.
Cite
@article{arxiv.2107.04653,
title = {An Atiyah Sequence for Noncommutative Principal Bundles},
author = {Kay Schwieger and Stefan Wagner},
journal= {arXiv preprint arXiv:2107.04653},
year = {2022}
}