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Noncommutative index theory for mirror quantum spheres

Piotr M. Hajac·Rainer Matthes·Wojciech Szymanski
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Abstract

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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Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski. 2005-11-11. Noncommutative index theory for mirror quantum spheres. https://arxiv.org/abs/math/0511309

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