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IDEAL STRUCTURE IN CERTAIN C-TENSOR PRODUCTS

孙华荣  王根原  
【摘要】:正 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.

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