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- W2967764037 abstract "Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named the dual Gromov-Hausdorff propinquity. This metric resolves several important issues raised by recent research in noncommutative metric geometry: it makes *-isomorphism a necessary condition for distance zero, it is well-adapted to Leibniz seminorms, and --- very importantly --- is complete, unlike the quantum propinquity which we introduced earlier. Thus our new metric provides a natural tool for noncommutative metric geometry, designed to allow for the generalizations of techniques from metric geometry to C*-algebra theory." @default.
- W2967764037 created "2019-08-22" @default.
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- W2967764037 date "2013-11-01" @default.
- W2967764037 modified "2023-09-27" @default.
- W2967764037 title "The Noncommutative Propinquity" @default.
- W2967764037 hasPublicationYear "2013" @default.
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