# Quantum Isometry groups of the Podles Spheres

Research paper by Jyotishman Bhowmick, Debashish Goswami

Indexed on: 11 Feb '10Published on: 11 Feb '10Published in: Mathematics - Operator Algebras

#### Abstract

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}}.