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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
On the Bures metric, C*-norm, and the quantum metric
Konrad Aguilar, Karina Behera, Tron Omland +1
We prove that the topology on the density space with respect to a unital C*-algebra and a faithful induced by the C*-norm is finer than the Bures metric topology. We also provide a…