Friday, July 19, 2013

1307.4850 (Debashish Goswami et al.)

Quantum isometry groups of non commutative manifolds obtained by unitary
Drinfeld twist
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Debashish Goswami, Soumalya Joardar
It is proved that the (volume and orientation-preserving) quantum isometry group of a spectral triple obtained by deformation by some unitary Drinfeld twist is isomorphic with a similar twist-deformation of the quantum isometry group of the original (undeformed) spectral triple. This result generalizes similar work by Bhowmick and Goswami for Rieffel-deformed spectral triple and facilitates computation of quantum isometry groups of the class of equivariant spectral triples constructed by the authors Neshveyev, Tuset.
View original: http://arxiv.org/abs/1307.4850

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