Quantum Isometry groups of the Podles Spheres

Details Quantum Isometry groups of the Podles Spheres Quantum Isometry groups of the Podles Spheres

2008-10-03

arxiv.org/abs/0810.0658v5

Mathematics

Operator Algebras

Some explanations added in subsections 3.3 and 3.4, to appear in J.Funct.Anal

Scientific paper

For $\mu \in (0,1), c> 0,$ we identify the quantum group $SO_\mu(3)$ as the
universal object in the category of compact quantum groups acting by
`orientation and volume preserving isometries' in the sense of \cite{goswami2}
on the natural spectral triple on the Podles sphere $S^2_{\mu, c}$ constructed
by Dabrowski, D'Andrea, Landi and Wagner in \cite{{Dabrowski_et_al}}.

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