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A Local Index Formula for the Quantum Sphere

Sergey Neshveyev·Lars Tuset
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Abstract

For the Dirac operator D on the standard quantum sphere we obtain an asymptotic expansion of the SU_q(2)-equivariant entire cyclic cocycle corresponding to \epsilon D when evaluated on the element k^2\in U_q(su_2). The constant term of this expansion is a twisted cyclic cocycle which up to a scalar coincides with the volume form and computes the quantum as well as the classical Fredholm indices.

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BibTeXRIS

Sergey Neshveyev, Lars Tuset. 2003-09-17. A Local Index Formula for the Quantum Sphere. https://doi.org/10.1007/s00220-004-1154-z

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