Twisted Group C*-Algebras as Compact Quantum Metric Spaces

被引：8
|
作者：
Long, Botao [1 ]
Wu, Wei [2 ]
机构：
[1] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2017年 / 71卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
Discrete group; length function; 2-cocycle; twisted reduced group C*-algebra; compact quantum metric space; Lip-norm; rapid decay property; THEOREM;
D O I：
10.1007/s00025-016-0562-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：21
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