Lipschitz isomorphisms of compact quantum metric spaces
Volume 261 / 2021
Studia Mathematica 261 (2021), 157-185
MSC: Primary 46L85; Secondary 46L87, 54E40, 58B34.
DOI: 10.4064/sm200316-17-11
Published online: 3 June 2021
Abstract
A compact quantum metric space is a complete order unit space endowed with a Lip-norm. We study morphisms and isomorphisms between compact quantum metric spaces. We give two sufficient conditions for a unital positive linear map of a compact quantum metric space with lower semicontinuous Lip-norm to be in fact a bi-Lipschitz map.
