The weak ideal property in tensor products

被引:0
作者
Pasnicu, Cornel [1 ]
机构
[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
来源
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2022年 / 65卷 / 01期
关键词
Weak ideal property; tensor product C*-algebra; largest ideal which has the weak ideal property; primitive spectrum; ideal property; C-ASTERISK-ALGEBRAS; CROSSED-PRODUCTS; RANK;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A and B be C*-algebras such that A or B is exact. We describe the largest ideal in A circle times B which has the weak ideal property. For many C*-algebras A and B as above we characterize when the largest ideal in A circle times B which has the weak ideal property is the tensor product of the largest ideals in A and B which have the weak ideal property (this is not always true if A or B is exact). Assume that the C*-algebras A and B have the weak ideal property (and one of them is exact). We characterize (in an interesting particular case and also in general) when A circle times B has the weak ideal property (these two characterizations are totally different in nature).
引用
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页码:119 / 125
页数:7
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