26 citations · 61 across the 9 of their papers we have counts for
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3 papers · 1 filter
math.OA2019★ 3 cited
Twisted Fourier(-Stieltjes) spaces and amenability
Hun Hee Lee, Xiao Xiong
The Fourier(-Stieltjes) algebras on locally compact groups are important commutative Banach algebras in abstract harmonic analysis. In this paper we introduce a generalization of t…
math.OA2019★ 26 cited
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★ 25 cited
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…