MORPHISMS OF DISCRETE DYNAMICAL SYSTEMS

被引：2
|
作者：
Buneci, Madalina Roxana [1 ]
机构：
[1] Univ Constantin Brancusi Targu Jiu, Targu Jiu 210136, Romania
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 29卷 / 01期
关键词：
Discrete dynamical system; etale groupoid; morphism; C*-algebra;
D O I：
10.3934/dcds.2011.29.91
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to introduce a category whose objects are discrete dynamical systems (X, P, H, theta) in the sense of [6] and whose arrows will be defined starting from the notion of groupoid morphism given in [10]. We shall also construct a contravariant functor (X, P, H, theta) -> C* (X, P, H, theta) from the subcategory of discrete dynamical systems for which PP-1 is amenable to the category of C*-algebras, where C* (X, P, H, theta) is the C*-algebra associated to the groupoid G (X, P, H, theta).
引用
收藏
页码：91 / 107
页数：17
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