The K-Theory of Heegaard-Type Quantum 3-Spheres
K理论与同调
2009-09-29 v2 算子代数
摘要
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.
引用
@article{arxiv.math/0409573,
title = {The K-Theory of Heegaard-Type Quantum 3-Spheres},
author = {Paul Baum and Piotr M. Hajac and Rainer Matthes and Wojciech Szymanski},
journal= {arXiv preprint arXiv:math/0409573},
year = {2009}
}
备注
24 pages in A4 format, 1 figure; minor corrections included; to appear in K-theory