Quantum Differentiability on Quantum Tori
We provide a full characterisation of quantum differentiability (in the sense of Connes) on quantum tori. We also prove a quantum integration formula which differs substantially from the commutative case.
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| Veröffentlicht in: | Communications in mathematical physics 2019-11, Vol.371 (3), p.1231-1260 |
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| container_end_page | 1260 |
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| container_issue | 3 |
| container_start_page | 1231 |
| container_title | Communications in mathematical physics |
| container_volume | 371 |
| creator | Mcdonald, Edward Sukochev, Fedor Xiong, Xiao |
| description | We provide a full characterisation of quantum differentiability (in the sense of Connes) on quantum tori. We also prove a quantum integration formula which differs substantially from the commutative case. |
| doi_str_mv | 10.1007/s00220-019-03384-w |
| format | Article |
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| ispartof | Communications in mathematical physics, 2019-11, Vol.371 (3), p.1231-1260 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Classical and Quantum Gravitation Complex Systems Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical Toruses |
| title | Quantum Differentiability on Quantum Tori |
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