The quantum Gromov-Hausdorff propinquity
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- by Frédéric Latrémolière PDF
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Abstract:
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel’s quantum Gromov-Hausdorff distance and Rieffel’s proximity by making *-isomorphism a necessary condition for distance zero, while being well adapted to Leibniz seminorms. This work offers a natural solution to the long-standing problem of finding a framework for the development of a theory of Leibniz Lip-norms over C*-algebras.References
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Additional Information
- Frédéric Latrémolière
- Affiliation: Department of Mathematics, University of Denver, Denver, Colorado 80208
- MR Author ID: 760927
- Email: frederic@math.du.edu
- Received by editor(s): November 6, 2013
- Published electronically: May 22, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 365-411
- MSC (2010): Primary 46L89, 46L30, 58B34
- DOI: https://doi.org/10.1090/tran/6334
- MathSciNet review: 3413867