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...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.展开更多
基金Projects supported by the National Natural Seience Foundation of China.
文摘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.