Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere
Abstract
We construct spectral triples for the C*-algebra of continuous functions on the quantum SU(2) group and the quantum sphere. There has been various approaches towards building a calculus on quantum spaces, but there seems to be very few instances of computations outlined in chapter~6 of Connes' book. We give detailed computations of the associated Connes-de Rham complex and the space of L2-forms.
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