Curved Noncommutative Tori as Leibniz Quantum Compact Metric Spaces
Operator Algebras
2016-01-28 v3 Mathematical Physics
math.MP
Abstract
We prove that curved noncommutative tori, introduced by Dabrowski and Sitarz, are Leibniz quantum compact metric spaces and that they form a continuous family over the group of invertible matrices with entries in the commutant of the quantum tori in the regular representation, when this group is endowed with a natural length function.
Keywords
Cite
@article{arxiv.1507.08771,
title = {Curved Noncommutative Tori as Leibniz Quantum Compact Metric Spaces},
author = {Frederic Latremoliere},
journal= {arXiv preprint arXiv:1507.08771},
year = {2016}
}
Comments
16 Pages, v3: accepted in Journal of Math. Physics