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

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

1998-09-16

arxiv.org/abs/math/9809086v1

Mathematics

K-Theory and Homology

AMS-LaTeX, 8 pages

Scientific paper

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.

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