Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Spectral Distances: Results for Moyal Plane and Noncommutative Torus
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| Creator |
Cagnache, E.
Wallet, J.C. |
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| Description |
The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold. An explicit formula for the distance between any two elements of a particular class of pure states can be determined. The corresponding result is discussed. The existence of some pure states at infinite distance signals that the topology of the spectral distance on the space of states is not the weak * topology. The case of the noncommutative torus is also considered and a formula for the spectral distance between some states is also obtained.
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| Date |
2019-02-08T20:53:46Z
2019-02-08T20:53:46Z 2010 |
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| Type |
Article
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| Identifier |
Spectral Distances: Results for Moyal Plane and Noncommutative Torus / E. Cagnache, J.C. Wallet // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 58B34; 46L52; 81T75 DOI:10.3842/SIGMA.2010.026 http://dspace.nbuv.gov.ua/handle/123456789/146321 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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