The Tracial Rokhlin Property for Automorphisms on Non-simple C~*-Algebras  

作　　者：Jiajie HUA 

机构地区：[1]Department of Mathematics, East China Normal University, Shanghai 200241, China.

出　　处：《Chinese Annals of Mathematics,Series B》2010年第2期191-200,共10页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.10771069,10671068);the Shanghai Priority Academic Discipline (No.B407)

摘　　要：Let A be a unital AF-algebra （simple or non-simple） and let α be an automorphism of A. Suppose that α has certain Rokhlin property and A is α-simple. Suppose also that there is an integer J ≥ 1 such that J α＊^J0 =idKo（A）. The author proves that A α Z has tracial rank zero.

关 键 词：Rokhlin property Tracial rank zero AF-algebra 

分 类 号：O157.5[理学—数学] G633.62[理学—基础数学]