A Local Index Formula for the Quantum Sphere
Sergey Neshveyev, Lars Tuset
Abstract
For the Dirac operator D on the standard quantum sphere we obtain an asymptotic expansion of the SUq(2)-equivariant entire cyclic cocycle corresponding to εD when evaluated on the element k2∈ Uq(su2). 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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