半群作用的共轭性  

Conjugacy of semigroup actions

作　　者：羌湘琦 侯成军[1] QIANG Xiangqi;HOU Chengjun(School of Mathematical Sciences,Yangzhou University,225002,Yangzhou,Jiangsu,PRC)

机构地区：[1]扬州大学数学科学学院,江苏省扬州市225002

出　　处：《曲阜师范大学学报（自然科学版）》2022年第3期89-94,共6页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(11771379,11971419).

摘　　要：借助于半群作用诱导的Ruelle算子研究了满足消去律的可数幺半群在紧拓扑空间上的满局部同胚作用的共轭性.证明了在本质自由作用的条件下,变换广群的同构性质是该类半群作用的一个共轭不变量.进一步,在空间连通的条件下也是一个完全共轭不变量.This paper studies the conjugacy of surjective local homeomorphism actions of countable monoids satisfying the cancellation law on compact topological spaces by means of Ruelle operator induced by semigroup actions.It is proved that the isomorphism of transformation groupoids is a conjugate invariant of semigroup action under the condition of essential freeness.Furthermore,it is also a completely conjugate invariant when the topological spaces are connected.

关 键 词：半群作用 共轭 半广群 变换广群 

分 类 号：O177.5[理学—数学]