A locally trivial quantum Hopf bundle

Abstract

We describe a locally trivial quantum principal U(1)-bundle over the quantum space S2pq which is a noncommutative analogue of the usual Hopf bundle. We also provide results concerning the structure of its total space algebra (irreducible *-representations and topological K-groups) and its Galois aspects (Galois property, existence of a strong connection, non-cleftness).

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