Tensor products of C*-algebras with the ideal property

被引：24
|
作者：
Pasnicu, C
Rordam, M
机构：
[1] Univ Puerto Rico, Dept Math, Rio Piedras, PR 00931 USA
[2] Univ Copenhagen, Dept Math, DK-2100 Copenhagen O, Denmark
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 177卷 / 01期
关键词：
D O I：
10.1006/jfan.2000.3630
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Combining a construction of Dadarlat of a unital, simple, non-exact C*-algebra C of real rank zero and stable rank one, which is shape equivalent to a UHF-algebra, with results of Kirchberg and a result obtained by Dadarlat and the first-named author, we show that B(H) x C contains an ideal that is not generated by its projections. We also find a unital, separable sub C*-algebra A of B(H) such that A is of real rank zero and A x C has an ideal that is not generated by its projections. (C) 2000 Academic Press.
引用
收藏
页码：130 / 137
页数：8
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