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arXiv · 2403.16323

Spectral Triples on noncommutative solenoids from the standard spectral triples on quantum tori

Carla Farsi·Frederic Latremoliere·Judith Packer
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Abstract

We address the natural question: as noncommutative solenoids are inductive limits of quantum tori, do the standard spectral triples on quantum tori converge to some spectral triple on noncommutative solenoid for the spectral propinquity? We answer this question by showing that, using appropriate bounded perturbation of the spectral triples on quantum tori, such a spectral triple on noncommutative solenoid can be constructed.

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Carla Farsi, Frederic Latremoliere, Judith Packer. 2024-03-24. Spectral Triples on noncommutative solenoids from the standard spectral triples on quantum tori. https://arxiv.org/abs/2403.16323

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