Mathematics – K-Theory and Homology
Scientific paper
2010-01-22
Mathematics
K-Theory and Homology
31 pages
Scientific paper
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 Fr\'echet $^*$-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.
Naito Katsutoshi
Takai Hiroshi
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