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
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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 |
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| 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 |
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