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We give a new sufficient condition on a spectral triple to ensure that the quantum group of orientation and volume preserving isometries defined in \cite{qorient} has a $C^*$-action on the underlying $C^*$ algebra.
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Woronowicz, S. L.: “Compact quantum groups”, pp. 845–884 in Symétries quantiques (Quantum symmetries) (Les Houches, 1995), edited by A. Connes et al., Elsevier, Amsterdam, 1998
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Wang, S. : Ergodic actions of universal quantum groups on operator algebras. Comm. Math. Phys. 203 (1999), no. 2, 481–498
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2007
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Bhowmick, J.: Quantum Isometry Group of the n n tori, preprint (2008), arXiv 0803.4434
2008
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Bhowmick, J. and Goswami, D.: Quantum Group of Orientation preserving Riemannian Isometries, preprint (2008), arXiv 0806.3687
2008
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Bhowmick, J., Goswami, D. and Skalski, A.: Quantum Isometry Groups of 0- Dimensional Manifolds , preprint(2008), arXiv 0807.4288
2008
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Bhowmick, J. and Goswami, D.: Quantum isometry groups : examples and computations, to appear in Comm. Math. Phys.(2008), arXiv 0707.2648
2008
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2005
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Banica, T.: Quantum automorphism groups of homogeneous graphs, J. Funct. Anal. 224
2005
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Cited in the paper.
Soltan, P. M.: Quantum families of maps and quantum semigroups on finite quantum spaces, preprint, arXiv:math/0610922
Cited in the paper.
Bhowmick, J. and Goswami, D.: Quantum isometry groups of the Podles sphere, preprint (2008)
2008
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Goswami, D.: Quantum Group of isometries in Classical and Non Commutative Geometry. to appear in Comm. Math.Phys. (2008), arXiv 0704.0041
2008
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