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Quantum Principal Bundles as Hopf-Galois Extensions

Mico Durdevic
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Abstract

It is shown that every quantum principal bundle with a compact structure group is a Hopf-Galois extension. This property naturally extends to the level of general differential structures, so that every differential calculus over a quantum principal bundle with a compact structure group is a graded-differential variant of the Hopf-Galois extension.

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Mico Durdevic. 1995-07-20. Quantum Principal Bundles as Hopf-Galois Extensions. https://arxiv.org/abs/q-alg/9507022

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