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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 076, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.076 (Mi sigma941) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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

Debashish Goswami, Soumalya Joardar

Indian Statistical Institute, 203, B.T. Road, Kolkata 700108, India
Full-text PDF (419 kB) Citations (6)
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DOI: https://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].
Keywords: cocycle twist; quantum isometry group; Rieffel deformation; spectral triple.
Received: January 29, 2014; in final form July 11, 2014; Published online July 17, 2014
Bibliographic databases:
Document Type: Article
MSC: 58B34; 46L65; 81R50
Language: English
Citation: Debashish Goswami, Soumalya Joardar, “Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles”, SIGMA, 10 (2014), 076, 18 pp.
Citation in format AMSBIB
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