Quantum differentiability on quantum tori
Edward McDonald, Fedor Sukochev, Xiao Xiong
TL;DR
This paper characterizes quantum differentiability on quantum tori and introduces a novel quantum integration formula that significantly differs from the classical case.
Contribution
It offers a complete characterization of quantum differentiability on quantum tori and presents a new quantum integration formula.
Findings
Quantum differentiability fully characterized on quantum tori
New quantum integration formula established
Differences from classical integration highlighted
Abstract
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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