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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Konrad Aguilar
Pomona College
Christensen-Ivan spectral triples on AF algebras and Latrémolière's Gromov-Hausdorff propinquity
Abstract:
We provide convergence in the quantum Gromov-Hausdorff propinquity of Latrémolière of some sequences of infinite-dimensional Leibniz compact quantum metric spaces of Rieffel given by AF algebras and Christensen-Ivan spectral triples. The main examples are convergence of Effros-Shen algebras and UHF algebras. We will also present some of the results that laid the groundwork for this result. (This includes joint work with Clay Adams, Esteban Ayala, Evelyne Knight, and Chloe Marple, and this work is partially supported by NSF grant DMS-2316892).
October 14, 2025
11:00 AM
APM 6402
Research Areas
Functional Analysis / Operator Theory****************************
