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Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
Інший ID:
2010 Mathematics Subject Classification: 58B34; 46L65; 81R50
DOI:10.3842/SIGMA.2014.076
DOI:10.3842/SIGMA.2014.076
Посилання:
Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles / D. Goswami, S. Joardar // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in
honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html
Research of the first author is partially supported by Swarnajayanti Fellowship from D.S.T.
(Govt. of India). He also acknowledges kind hospitality of the Fields Institute, Toronto (Canada)
where he participated in a workshop and conference in honour of Marc Rief fel. The research of
the second author is supported by CSIR, Govt. of India. We are grateful to Sergey Neshveyev
for pointing out a crucial mistake in the earlier version of this paper and would like to thank
him as well as Jyotishman Bhowmick for their overall comments in general.
Дата:
2014
Переглядів:
452
Завантажень:
281
Анотація:
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].
