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arxiv: math/0210199 · v1 · submitted 2002-10-14 · 🧮 math.QA

A locally trivial quantum Hopf bundle

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keywords bundlequantumgaloishopflocallyspacetrivialalgebra
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We describe a locally trivial quantum principal U(1)-bundle over the quantum space S^2_{pq} 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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