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Noncommutative Solenoids and the Gromov-Hausdorff Propinquity

Research paper by Frederic Latremoliere, Judith Packer

Indexed on: 04 Apr '16Published on: 04 Apr '16Published in: Mathematics - Operator Algebras



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.