Spectral triples for hyperbolic dynamical systems

被引：6
|
作者：
Whittaker, Michael F. [1 ]
机构：
[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
来源：
JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2013年 / 7卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
C*-algebra; dynamical system; noncommutative geometry; Smale space; spectral triple; C-ASTERISK-ALGEBRAS; FREDHOLM MODULES; DIFFEOMORPHISMS; SPACES;
D O I：
10.4171/JNCG/127
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to recover the topological entropy of the Smale space.
引用
收藏
页码：563 / 582
页数：20
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