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arXiv · 2312.16458

Quantum Gromov-Hausdorff propinquity convergence of Christensen-Ivan quantum metrics on AF algebras

Clay Adams·Konrad Aguilar·Esteban Ayala·Evelyne Knight·Chloe Marple
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Abstract

We provide convergence in the quantum Gromov-Hausdorff propinquity of Latr\'emoli\`ere of some sequences of infinite-dimensional Leibniz compact quantum metric spaces of Rieffel given by AF algebras and Christensen-Ivan spectral spaces. The main examples are convergence of Effros-Shen algebras and UHF algebras.

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Clay Adams, Konrad Aguilar, Esteban Ayala, Evelyne Knight, Chloe Marple. 2023-12-27. Quantum Gromov-Hausdorff propinquity convergence of Christensen-Ivan quantum metrics on AF algebras. https://arxiv.org/abs/2312.16458

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