The category of compact quantum metric spaces

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS（2022）

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摘要

A compact quantum metric space is a complete order unit space endowed with a Lip-norm. We introduce a metric on the state space and give several equivalent conditions to characterize the Lipschitz morphisms and Lipschitz isomorphisms between two compact quantum metric spaces.

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关键词

Lip-norm,compact quantum metric space,Lipschitz morphism,Lipschitz isomorphism,category

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