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

Published 27 Dec 2023 in math.OA and math.FA | (2312.16458v1)

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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