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arXiv · 1001.3924

The Entire Cyclic Cohomology of Noncommutative 3-Spheres

Katsutoshi Naito·Hiroshi Takai
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Abstract

In this paper, we compute the entire cyclic cohomology of noncommutative 3-spheres. First of all, we verify the Mayer-Vietoris exact sequence of entire cyclic cohomology in the framework of Fréchet $^*$-algebras. Applying it to their noncommutative Heegaard decomposition, we deduce that their entire cyclic cohomology is isomorphic to the d'Rham homology of the ordinary 3-sphere with the complex coefficients.

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Katsutoshi Naito, Hiroshi Takai. 2010-05-14. The Entire Cyclic Cohomology of Noncommutative 3-Spheres. https://arxiv.org/abs/1001.3924

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