Compact quantum metric spaces

被引：0
|
作者：
Rieffel, MA [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
OPERATOR ALGEBRAS, QUANTIZATION, AND NONCOMMUTATIVE GEOMETRY: A CENTENNIAL CELEBRATION HONORING JOHN VON NEUMANN AND MARSHALL H. STONE | 2004年 / 365卷
关键词：
quantum metric spaces; C*-algebra; state; Lipschitz; Dirac operator;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a brief survey of many of the high-lights of our present understanding of the young subject of quantum metric spaces, and of quantum Gromov-Hausdorff distance between them. We include examples.
引用
收藏
页码：315 / 330
页数：16
相关论文
共 50 条
  • [21] Nilpotent Group C*-algebras as Compact Quantum Metric Spaces
    Christ, Michael
    Rieffel, Marc A.
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (01): : 77 - 94
  • [22] Existence and Rigidity of Quantum Isometry Groups for Compact Metric Spaces
    Alexandru Chirvasitu
    Debashish Goswami
    Communications in Mathematical Physics, 2020, 380 : 723 - 754
  • [23] Twisted Group C*-Algebras as Compact Quantum Metric Spaces
    Botao Long
    Wei Wu
    Results in Mathematics, 2017, 71 : 911 - 931
  • [24] Twisted Group C*-Algebras as Compact Quantum Metric Spaces
    Long, Botao
    Wu, Wei
    RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 911 - 931
  • [25] Curved noncommutative tori as Leibniz quantum compact metric spaces
    Latremoliere, Frederic
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (12)
  • [26] Almost Periodic Type Group Actions on Compact Quantum Metric Spaces
    Long, Bo Tao
    Wu, Wei
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (02) : 568 - 594
  • [27] Almost Periodic Type Group Actions on Compact Quantum Metric Spaces
    Bo Tao LONG
    Wei WU
    Acta Mathematica Sinica,English Series, 2024, (02) : 568 - 594
  • [28] Existence and examples of quantum isometry groups for a class of compact metric spaces
    Goswami, Debashish
    ADVANCES IN MATHEMATICS, 2015, 280 : 340 - 359
  • [29] Almost Periodic Type Group Actions on Compact Quantum Metric Spaces
    Bo Tao Long
    Wei Wu
    Acta Mathematica Sinica, English Series, 2024, 40 (2) : 568 - 594
  • [30] Decompositions of compact metric spaces
    Wilder, RL
    AMERICAN JOURNAL OF MATHEMATICS, 1941, 63 : 691 - 697
12345