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

Symmetry Integrability and Geometry-Methods and Applications

article

Debashish Goswami¹  Soumalya Joardar¹ 

[1] Indian Statistical Institute

关键词: cocycle twist;    quantum isometry group;    Rief fel deformation;    spectral triple;   

DOI  :  10.3842/SIGMA.2014.076

来源: National Academy of Science of Ukraine

【 摘 要 】

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].

【 授权许可】

Unknown