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

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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

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K-Theory and Homology, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/77405

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809086
 http://arxiv.org/abs/math/9809086

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arXiv