Convergence of Cauchy sequences for the covariant Gromov-Hausdorff propinquity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:469

Article

Latremoliere, Frederic¹ 

[1] Univ Denver, Dept Math, Denver, CO 80208 USA

关键词: Noncommutative metric geornetry;    Gromov-Hausdorff propinquity;    Quantum metric spaces;    Proper monoids;    Gromov-Hausdorff distance for proper monoids;    C*-dynarnical systems;   

DOI  :  10.1016/j.jmaa.2018.09.018

来源: Elsevier

【 摘 要 】

The covariant Gromov-Hausdorff propinquity is a distance on Lipschitz dynamical systems over quantum compact metric spaces, up to equivariant full quantum isometry. It is built from the dual Gromov-Hausdorff propinquity which, as its classical counterpart, is complete. We prove in this paper several sufficient conditions for convergence of Cauchy sequences for the covariant propinquity and apply it to show that many natural classes of dynamical systems are complete for this metric. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free