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- W636565984 abstract "We present a survey of the dual Gromov-Hausdorff propinquity, a noncommutative analogue of the Gromov-Hausdorff distance which we introduced to provide a framework for the study of the noncommutative metric properties of C*-algebras. We first review the notions of quantum locally compact metric spaces, and present various examples of such structures. We then explain the construction of the dual Gromov-Hausdorff propinquity, first in the context of quasi-Leibniz quantum compact metric spaces, and then in the context of pointed quantum proper metric spaces. We include a few new result concerning perturbations of the metrics on Leibniz quantum compact metric spaces in relation with the dual Gromov-Hausdorff propinquity." @default.
- W636565984 created "2016-06-24" @default.
- W636565984 creator A5082208343 @default.
- W636565984 date "2015-06-14" @default.
- W636565984 modified "2023-10-01" @default.
- W636565984 title "Quantum Metric Spaces and the Gromov-Hausdorff Propinquity" @default.
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