性质S的注记

本文刻划了性质S的几个等价条件。在一定条件下,证明了性质S可以遗传到子C~*-代数上去,从而部分地肯定回答了Lance,E.C.的一个问题。另外,还讨论了群在具有性质S的C~*-代数上的作用。     

IDEAL STRUCTURE IN CERTAIN C-TENSOR PRODUCTS

This paper discusses the ideal structure in tensor product AB of C~*-algebra A and B, and introduces the concept of property (I) and property (K) with respect to the problem. When A is an AF (or scattered) C~*-algebra, it is shown that for any C~*-algebra B, the ideals in AB can be expressed by those of A and B.     

IDEAL STRUCTURE IN CENTAIN C^*-TENSOR PRODUCTS

This paper discusses the ideal structure in tensor product $A\bigotimes B$ of C^*-algebra A and B,and introduces the concept of property (I) and property (K) with respect to the problem.When A is an AF(or scattered) C^*-algebra,it is shown that for any C^*-algebra B,the ideals in $A\bigotimes B$ can be expressed by those of A and B.