K-theoretic duality for hyperbolic dynamical systems

被引：18
|
作者：
Kaminker, Jerome [1 ,2 ]
Putnam, Ian F. [3 ]
Whittaker, Michael F. [4 ]
机构：
[1] IUPUI, Dept Math Sci, Indianapolis, IN 46202 USA
[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[4] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2017年 / 730卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
C-ASTERISK-ALGEBRAS; TOPOLOGICAL MARKOV-CHAINS; NOVIKOV-CONJECTURE; BOUNDARY ACTIONS; STAR-ALGEBRAS; DIFFEOMORPHISMS; FUNCTOR;
D O I：
10.1515/crelle-2014-0126
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum-Connes conjecture and other topics are also considered.
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页码：263 / 299
页数：37
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