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arxiv: 0810.0658 · v5 · submitted 2008-10-03 · 🧮 math.OA · math.QA

Quantum Isometry groups of the Podles Spheres

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keywords quantumcitedabrowskigroupspodlesactingandreacategory
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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, D'Andrea, Landi and Wagner in \cite{{Dabrowski_et_al}}.

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