Noncommutative index theory for mirror quantum spheres

Details Noncommutative index theory for mirror quantum spheres Noncommutative index theory for mirror quantum spheres

2005-11-11

arxiv.org/abs/math/0511309v1

Mathematics

K-Theory and Homology

6 pages

Scientific paper

We introduce and analyse a new type of quantum 2-spheres. Then we apply index
theory for noncommutative line bundles over these spheres to conclude that
quantum lens spaces are non-crossed-product examples of principal extensions of
C*-algebras.

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