Twisted Group C*-Algebras as Compact Quantum Metric Spaces

被引：1
|
作者：
Botao Long
Wei Wu
机构：
[1] East China Normal University,Department of Mathematics
[2] East China Normal University,Department of Mathematics, Shanghai Key Laboratory of PMMP
来源：
Results in Mathematics | 2017年 / 71卷
关键词：
Discrete group; length function; 2-cocycle; twisted reduced group ; *-algebra; compact quantum metric space; Lip-norm; rapid decay property; Primary 46L85; Secondary 58B34; 20J06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a class of compact quantum metric spaces. We prove that twisted reduced group C*-algebras for discrete groups with twisted rapid decay property are compact quantum metric spaces, which contain noncommutative tori, hyperbolic reduced group C*-algebras and discrete Heisenberg group C*-algebras, and that the compact quantum metric space structures depend only on the cohomology class of 2-cocycles in the Lipschitz isometric sense.
引用
收藏
页码：911 / 931
页数：20
相关论文
共 50 条
  • [1] Twisted Group C*-Algebras as Compact Quantum Metric Spaces
    Long, Botao
    Wu, Wei
    [J]. RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 911 - 931
  • [2] Nilpotent Group C*-algebras as Compact Quantum Metric Spaces
    Christ, Michael
    Rieffel, Marc A.
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (01): : 77 - 94
  • [3] Hyperbolic group C*-algebras and free-product C*-algebras as compact quantum metric spaces
    Ozawa, N
    Rieffel, MA
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2005, 57 (05): : 1056 - 1079
  • [4] INDUCTIVE LIMITS OF C*-ALGEBRAS AND COMPACT QUANTUM METRIC SPACES
    Aguilar, Konrad
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021, 111 (03) : 289 - 312
  • [5] TWISTED FUNCTION ALGEBRAS ON A COMPACT QUANTUM GROUP AND THEIR REPRESENTATIONS
    LEVENDORSKII, SZ
    [J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1990, 24 (04) : 330 - 332
  • [6] Twisted bounded-dilation group C*-algebras as C*-metric algebras
    Botao Long
    Wei Wu
    [J]. Science China Mathematics, 2021, 64 (03) : 547 - 572
  • [7] Twisted bounded-dilation group C*-algebras as C*-metric algebras
    Botao Long
    Wei Wu
    [J]. Science China Mathematics, 2021, 64 : 547 - 572
  • [8] Twisted bounded-dilation group C*-algebras as C*-metric algebras
    Long, Botao
    Wu, Wei
    [J]. SCIENCE CHINA-MATHEMATICS, 2021, 64 (03) : 547 - 572
  • [9] Compact quantum metric spaces from free graph algebras
    Aguilar, Konrad
    Hartglass, Michael
    Penneys, David
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (10N11)
  • [10] Compact quantum metric spaces
    Rieffel, MA
    [J]. OPERATOR ALGEBRAS, QUANTIZATION, AND NONCOMMUTATIVE GEOMETRY: A CENTENNIAL CELEBRATION HONORING JOHN VON NEUMANN AND MARSHALL H. STONE, 2004, 365 : 315 - 330
12345