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

Partha Sarathi Chakraborty·Arupkumar Pal
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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 L_2-forms.

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Partha Sarathi Chakraborty, Arupkumar Pal. 2002-10-03. Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere. https://doi.org/10.1007/s00220-003-0921-6

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