Algebraic $K_0$ of the Quantum Sphere and Noncommutative Index Theorem

Piotr M. Hajac

paper

Algebraic $K_{0}$ of the Quantum Sphere and Noncommutative Index Theorem

arXiv:math/9809086

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 $K_{0}$ of the standard quantum sphere.

AMS-LaTeX, 8 pages

Algebraic K0​ of the Quantum Sphere and Noncommutative Index Theorem

Abstract

Algebraic $K_{0}$ of the Quantum Sphere and Noncommutative Index Theorem