Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
Operator Algebras
2014-07-18 v5 Mathematical Physics
math.MP
Quantum Algebra
Abstract
It is proved that the (volume and orientation-preserving) quantum isometry group of a spectral triple obtained by deformation by some dual unitary 2-cocycle 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 triples in [Comm. Math. Phys. 285 (2009), 421-444, arXiv:0707.2648].
Keywords
Cite
@article{arxiv.1307.4850,
title = {Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles},
author = {Debashish Goswami and Soumalya Joardar},
journal= {arXiv preprint arXiv:1307.4850},
year = {2014}
}