The K-Theory of Heegaard-Type Quantum 3-Spheres

Details The K-Theory of Heegaard-Type Quantum 3-Spheres The K-Theory of Heegaard-Type Quantum 3-Spheres

2004-09-29

arxiv.org/abs/math/0409573v2

Mathematics

K-Theory and Homology

24 pages in A4 format, 1 figure; minor corrections included; to appear in K-theory

Scientific paper

We use a Heegaard splitting of the topological 3-sphere as a guiding principle to construct a family of its noncommutative deformations. The main technical point is an identification of the universal C*-algebras defining our quantum 3-spheres with an appropriate fiber product of crossed-product C*-algebras. Then we employ this result to show that the K-groups of our family of noncommutative 3-spheres coincide with their classical counterparts.

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