K_0-group Transmissibilities of the Tracial Limit of C*-algebras  

作　　者：杨新兵 胡善文 

机构地区：[1]College of Mathematics and Physics,Zhejiang Normal University,Jinhua,321004 [2]Department of Mathematics,East China Normal University,Shanghai,200062

出　　处：《Northeastern Mathematical Journal》2005年第4期465-474,共10页东北数学（英文版）

基　　金：The NNSF (10271090) of China and Shanghai Priority Academic Discipline.

摘　　要：We introduce the tracial limit A = （t4）lim n→∞（An,pn） and show that if K0（An） has ordered relation, K0（A） has ordered relation naturally. In the case that A is simple and K0（An） is weakly unperforated for every n, K0（A） is weakly unperforated too. Furthermore, the Riesz interpolation property of K0（An） can be transmitted to K0（A）.We introduce the tracial limit A = （t4）lim n→∞（An,pn） and show that if K0（An） has ordered relation, K0（A） has ordered relation naturally. In the case that A is simple and K0（An） is weakly unperforated for every n, K0（A） is weakly unperforated too. Furthermore, the Riesz interpolation property of K0（An） can be transmitted to K0（A）.

关 键 词：ordered group weakly unperforated Riesz interpolation property 

分 类 号：O177.5[理学—数学]