4 citations · 4 across the 9 of their papers we have counts for
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math.OA2019
Quantum differentiability on quantum tori
Edward McDonald, Fedor Sukochev, Xiao Xiong
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 fr…
math.OA2019
Quantum differentiability on noncommutative Euclidean spaces
Edward McDonald, Fedor Sukochev, Xiao Xiong
We study the topic of quantum differentiability on quantum Euclidean -dimensional spaces (otherwise known as Moyal -spaces), and we find conditions that are necessary and suf…
math.OA2019
Quantum Euclidean Spaces with Noncommutative Derivatives
Li Gao, Marius Junge, Edward McDonald
Quantum Euclidean spaces, as Moyal deformations of Euclidean spaces, are the model examples of noncompact noncommutative manifold. In this paper, we study the quantum Euclidean spa…