Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
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 generali...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146611 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680402603278336 |
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| author | Goswami, D. Joardar, S. |
| author_facet | Goswami, D. Joardar, S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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].
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| first_indexed | 2025-12-07T15:47:13Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146611 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:47:13Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Goswami, D. Joardar, S. 2019-02-10T10:01:08Z 2019-02-10T10:01:08Z 2014 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. 1815-0659 2010 Mathematics Subject Classification: 58B34; 46L65; 81R50 DOI:10.3842/SIGMA.2014.076 https://nasplib.isofts.kiev.ua/handle/123456789/146611 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]. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles Article published earlier |
| spellingShingle | Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles Goswami, D. Joardar, S. |
| title | Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles |
| title_full | Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles |
| title_fullStr | Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles |
| title_full_unstemmed | Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles |
| title_short | Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles |
| title_sort | quantum isometry groups of noncommutative manifolds obtained by deformation using dual unitary 2-cocycles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146611 |
| work_keys_str_mv | AT goswamid quantumisometrygroupsofnoncommutativemanifoldsobtainedbydeformationusingdualunitary2cocycles AT joardars quantumisometrygroupsofnoncommutativemanifoldsobtainedbydeformationusingdualunitary2cocycles |