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Dynamical Noncommutative Spheres

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Abstract

We introduce a family of noncommutative 4-spheres, such that the instanton projector has its first Chern class trivial: ch 1(e)=Bχ+bξ. We construct for them a 4-dimensional cycle and calculate explicitly the Chern-Connes pairing for the instanton projector.

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Authors and Affiliations

  1. Institute of Physics, Jagiellonian University, Reymonta 4, 30059, Kraków, Poland

    Andrzej Sitarz

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  1. Andrzej Sitarz
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Correspondence to Andrzej Sitarz.

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Communicated by A. Connes

Supported by Marie Curie Fellowship HPMF-CT-1999-00053, at Laboratoire de Physique Theórique, Université Paris-Sud, Bat. 210, 91405 Orsay, Cedex, France

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Sitarz, A. Dynamical Noncommutative Spheres. Commun. Math. Phys. 241, 161–175 (2003). https://doi.org/10.1007/s00220-003-0900-y

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  • DOI: https://doi.org/10.1007/s00220-003-0900-y

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