Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere

Details Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere

2002-10-03

arxiv.org/abs/math/0210049v1

Commun. Math. Phys., 240(2003), No. 3, 447-456.

Mathematics

Quantum Algebra

LaTeX2e, 11 pages

Scientific paper

10.1007/s00220-003-0921-6

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 L_2-forms.

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