Noncommutative Solenoids and the Gromov-Hausdorff Propinquity
Operator Algebras
2018-02-20 v3
Abstract
We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove that noncommutative solenoids can be approximated by finite dimensional quantum compact metric spaces, and that they form a continuous family of quantum compact metric spaces over the space of multipliers of the solenoid, properly metrized.
Keywords
Cite
@article{arxiv.1601.02707,
title = {Noncommutative Solenoids and the Gromov-Hausdorff Propinquity},
author = {Frederic Latremoliere and Judith Packer},
journal= {arXiv preprint arXiv:1601.02707},
year = {2018}
}
Comments
15 Pages, minor corrections