给出了Z(k)中迹极限C*-代数的某些性质.特别地给出了I(k)中迹极限C*-代数的的几个等价定义.利用此结果,证明了如果A是单的有单位元的C*-代数,并且A具有唯一的标准迹,A=(t4)limn→∞(An,Pn),其中An∈I(k),则A=(t4)limn→∞(An,Pn),其中An∈I(O),最后给出了I(k)中迹极限C*-代数的KO群的消去律性质。
This paper presents several property on C*-algebras of tracial limit of C*-algebras in I(k). Especially some equivalent conditions on C*-algebra of tracial limit of C*-algebras in I(k) are given. With those results, it is shown that if A is a simple unital C*-algebra and A=(t4)limn→∞(An,Pn), with An∈I(k) which has an unique normalized trace, then A=(t4)limn→∞(Bn,Pn),with Bn∈I(O) And the cancellation property of K0-group onC*-algebras of tracial limit of C*-algebras in I(k) is also obtained.