2 papers
math.OA2026
The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
Konrad Aguilar, Karina Behera, Katrine von Bornemann Hjelmborg +4
Building off work of Farenick and Rahaman, we extend the definition of the density space and the Bures metric to the setting of non-unital C*-algebras equipped with a faithful trac…
math.OA2024
Domains of quantum metrics on AF algebras
Konrad Aguilar, Katrine von Bornemann Hjelmborg, Frederic Latremoliere
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 q…