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Domains of quantum metrics on AF algebras by Aguilar, Konrad; Hjelmborg, Katrine von Bornemann; Latremoliere, Frederic is a scholarly article available to read on EtoBox.

What is Domains of quantum metrics on AF algebras about?

Given a compact quantum metric space (A, L), we prove that the domain of L coincides with A if and only if A is finite dimensional. We then show how one can explicitly build many quantum metrics with distinct domains on infinite-dimensional AF algebras. In the last section, we provide a strategy for calculating the distance between certain states in these quantum metrics, which allow us to calculate the distance between pure states in these quantum metrics on the quantized interval and on the Cantor space.

Author

Aguilar, Konrad; Hjelmborg, Katrine von Bornemann; Latremoliere, Frederic

Published

2024

Language

EN