Spectral triples and associated Connes-de Rham Complex for the Quantum SU(2) and the Quantum Sphere

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2003

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Chakraborty, Partha Sarathi
Pal, Arupkumar

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Journal article

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Communications in Mathematical Physics, 2003; 240 (3):447-456

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Partha Sarathi Chakraborty and Arupkumar Pal

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Abstract

In this article, we construct spectral triples for the C*-algebra of continuous functions on the quantum SU(2) group and the quantum sphere. There have been various approaches towards building a calculus on quantum spaces, but there seem to be very few instances of computations outlined in Chapter 6, [5]. We give detailed computations of the associated Connes-de Rham complex and the space of L2-forms.

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School of Mathematical Sciences

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Published online: 19 August 2003

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The original publication can be found at www.springerlink.com

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