REAL RANK OF TENSOR-PRODUCTS OF C-ASTERISK-ALGEBRAS

被引：7
作者：
KODAKA, K
OSAKA, H
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 07期
关键词：
D O I：
10.2307/2160959
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the real rank of tenser products of C*-algebras. From the dimension theory: dim(X x Y) less than or equal to dim X + dim Y, it is naturally hoped that RR(A x B) less than or equal to RR(A) + RR(B). We then prove that it is false generally. Moreover, we point out that (FS)-property for C*-algebras is not stable under taking tenser products.
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页码：2213 / 2215
页数：3
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