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arXiv · 1601.02707

Noncommutative Solenoids and the Gromov-Hausdorff Propinquity

Frederic Latremoliere·Judith Packer
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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.

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Frederic Latremoliere, Judith Packer. 2016-01-12. Noncommutative Solenoids and the Gromov-Hausdorff Propinquity. https://arxiv.org/abs/1601.02707

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