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It is proved that the (volume and orientation-preserving) quantum isometrygroup of a spectral triple obtained by deformation by some dual unitary2-cocycle is isomorphic with a similar twist-deformation of the quantumisometry group of the original (undeformed) spectral triple. This resultgeneralizes similar work by Bhowmick and Goswami for Rieffel-deformed spectraltriples in [Comm. Math. Phys. 285 (2009), 421-444, arXiv:0707.2648].

Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles