Quantum isometry groups of noncommutative manifolds obtained by deformation using dual unitary 2-cocycles

Goswami, Debashish (2014) Quantum isometry groups of noncommutative manifolds obtained by deformation using dual unitary 2-cocycles Symmetry, Integrability and Geometry: Methods and Applications . Article ID 076-18 pages. ISSN 1815-0659

[img]
Preview
PDF - Other
429kB

Official URL: http://www.emis.de/journals/SIGMA/2014/076/

Related URL: http://dx.doi.org/10.3842/SIGMA.2014.076

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].

Item Type:Article
Source:Copyright of this article belongs to The European Mathematical Information Service.
Keywords:Cocycle Twist; Quantum Isometry Group; Rieffel Deformation; Spectral Triple
ID Code:102217
Deposited On:01 Feb 2018 04:36
Last Modified:01 Feb 2018 04:36

Repository Staff Only: item control page