An Atiyah Sequence for Noncommutative Principal Bundles

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. MSC2010: 46L87 (primary); 46L85, 55R10 (secondary)