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Noncommutative Solenoids and the Gromov-Hausdorff Propinquity

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arxiv 1601.02707 v3 pith:RJB4QWGK submitted 2016-01-12 math.OA

Frederic Latremoliere , Judith Packer This is my paper · ORCID
classification math.OA
keywords noncommutativequantumsolenoidscompactgromov-hausdorffmetricpropinquityprove
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale

    math.OA 2026-07 unverdicted novelty 7.0 of 10

    Fuzzy tori converge to the flat torus Dirac triple via an extension of spectral propinquity to twisted spectral triples with unbounded twists.

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