Quantum metrics on noncommutative spaces

Authors : Maysam Maysami Sadr

Pages : 57-60

Doi:10.33401/fujma.401097

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Publication Date : 2018-06-30

Article Type : Research

Abstract :We introduce two new algebraic formulations for the notion of 'quantum metric on noncommutative space'. For a compact noncommutative space associated to a unital C*-algebra, our quantum metrics are elements of the spatial tensor product of the C*-algebra with itself. We consider some basic properties of these new objects, and state some connections with the Rieffel theory of compact quantum metric spaces.
Keywords : C*-algebra, Enveloping von Neumann algebra, Quantum metric