The K-Theory of Heegaard-Type Quantum 3-Spheres
arXiv:math/0409573
Abstract
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.
24 pages in A4 format, 1 figure; minor corrections included; to appear in K-theory