Communications in Mathematical Physics

, Volume 254, Issue 2, pp 323–341 | Cite as

A Local Index Formula for the Quantum Sphere

  • Sergey NeshveyevEmail author
  • Lars Tuset


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 Open image in new window when evaluated on the element Open image in new window 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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of OsloOsloNorway

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