English

Noncommutative index theory for mirror quantum spheres

K-Theory and Homology 2007-05-23 v1 Operator Algebras

Abstract

We introduce and analyse a new type of quantum 2-spheres. Then we apply index theory for noncommutative line bundles over these spheres to conclude that quantum lens spaces are non-crossed-product examples of principal extensions of C*-algebras.

Keywords

Cite

@article{arxiv.math/0511309,
  title  = {Noncommutative index theory for mirror quantum spheres},
  author = {Piotr M. Hajac and Rainer Matthes and Wojciech Szymanski},
  journal= {arXiv preprint arXiv:math/0511309},
  year   = {2007}
}

Comments

6 pages