An Atiyah Sequence for Noncommutative Principal Bundles

preprint2022arXivOpen access

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.

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