Abstract
This chapter deals with \( \mathrm{QISO}^{\mathcal{L}} \) and \( \mathrm{QISO}^{+}_R \) of a cocycle twisted noncommutative manifold. We first discuss the cocycle deformation of compact quantum groups, von Neumann algebras and spectral triples, followed by the proof of the fact that \( \mathrm{QISO}^{+}_{R} \) and \( \mathrm{QISO}^{\mathcal{L}} \) of a cocycle twist of a (noncommutative) manifold is a cocycle twist of the \( \mathrm{QISO}^{+}_R \) and \( \mathrm{QISO}^{\mathcal{L}} \) (respectively) of the original (undeformed) manifold.
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Goswami, D., Bhowmick, J. (2016). Deformation of Spectral Triples and Their Quantum Isometry Groups. In: Quantum Isometry Groups. Infosys Science Foundation Series(). Springer, New Delhi. https://doi.org/10.1007/978-81-322-3667-2_7
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DOI: https://doi.org/10.1007/978-81-322-3667-2_7
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