IDEAL STRUCTURE IN CENTAIN C^*-TENSOR PRODUCTS

Citation:

Sun Huarong(孙华荣),Wang Genyuan(王根原).IDEAL STRUCTURE IN CENTAIN C^*-TENSOR PRODUCTS[J].Chinese Annals of Mathematics B,1992,13(4):463~470
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Authors:

Sun Huarong(孙华荣); Wang Genyuan(王根原)
Abstract: 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.

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