中文摘要：

<正>We introduce the tracial limit A = (t4) limn→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).

英文摘要：

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）.