Quantum Differentiability on Quantum Tori

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
Hauptverfasser: Mcdonald, Edward, Sukochev, Fedor, Xiong, Xiao
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Toruses
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Beschreibung
Zusammenfassung: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03384-w