Quantum metric spaces of quantum maps
Maysam Maysami Sadr

TL;DR
This paper introduces a canonical quantum semi-metric structure for quantum families of maps from non-commutative spaces to compact quantum metric spaces, advancing the understanding of quantum metric geometry.
Contribution
It establishes a new canonical semi-metric framework for quantum maps between non-commutative and compact quantum metric spaces.
Findings
Quantum families of maps possess a natural semi-metric structure.
The framework applies to non-commutative and quantum metric spaces.
Provides tools for quantum metric geometry analysis.
Abstract
We show that any quantum family of maps from a non commutative space to a compact quantum metric space has a canonical quantum semi metric structure.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Advanced Topics in Algebra
