Quantum isometry groups of the Podles spheres

For μ ∈ (0, 1), c 0, we identify the quantum group SOμ(3) as the universal object in the category of compact quantum groups acting by ‘orientation and volume preserving isometries’ in the sense of Bhowmick and Goswami (2009) [4] on the natural spectral triple on the Podles sphere S2 μ,c constructed by Dabrowski, D’Andrea, Landi and Wagner (2007) in [9]. © 2010 Elsevier Inc. All rights reserved