Quantum differentiability on quantum tori
Operator Algebras
2019-09-10 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1909.03659,
title = {Quantum differentiability on quantum tori},
author = {Edward McDonald and Fedor Sukochev and Xiao Xiong},
journal= {arXiv preprint arXiv:1909.03659},
year = {2019}
}
Comments
Published online in Comm. Math. Phys