Algebraic $K_0$ of the Quantum Sphere and Noncommutative Index Theorem
K-Theory and Homology
2007-05-23 v1 Quantum Algebra
Abstract
The Noncommutative Index Theorem is used to prove that the Chern character of quantum Hopf line bundles over the standard Podles quantum sphere equals the winding number of the representations defining these bundles. This result gives an estimate of the positive cone of the algebraic of the standard quantum sphere.
Keywords
Cite
@article{arxiv.math/9809086,
title = {Algebraic $K_0$ of the Quantum Sphere and Noncommutative Index Theorem},
author = {Piotr M. Hajac},
journal= {arXiv preprint arXiv:math/9809086},
year = {2007}
}
Comments
AMS-LaTeX, 8 pages