Quantum Isometry groups of the Podles Spheres


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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, DAndrea, Landi and Wagner in cite{{Dabrowski_et_al}}.

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