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Bundles over Quantum Sphere and Noncommutative Index Theorem |
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| Authors: | Piotr M. Hajac |
| Affiliation: | (1) Mathematical Institute, Polish Academy of Sciences, ul. !["Sacute"]("/content/xu0813281t375368/xlarge346.gif") niadeckich 8, Warsaw, 00-950, Poland;(2) Department of Mathematical Methods in Physics, Warsaw University, ul. Ho!["zdot"]("/content/xu0813281t375368/xlarge380.gif") a 74, Warsaw, 00-682, Poland |
| Abstract: | The Noncommutative Index Theorem is used to prove that the Chern numbers of quantum Hopf line bundles over the standard Podle  quantum sphere equal the winding numbers of the representations defining these bundles. This result gives an estimate of the positive cone of the algebraic K0 of the standard quantum sphere. |
| Keywords: | pairing of K-theory and cyclic cohomology positive cone Hopf– Galois extensions quantum sphere |
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