ON NONCOMMUTATIVE FIBRE BUNDLES

We discuss an algebraic framework for noncommutative fibre bundles with homogeneous spaces as typical fibres. We illustrate the general scheme with two examples, the flag manifold of the quantum SU(3) group and the quantum twistor bundle. Both examples are studied not only from the purely algebraic, but also C*-algebraic point of view. This talk is based on joint work with Tomasz Brzeziński and Sophie Emma Mikkelsen.