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

页码：130 / 137

页数：8

共 11 条

[1]

[Anonymous], 1994, LECT NOTE SERIES

[2] WEAK EXPECTATIONS AND NUCLEAR C-STAR-ALGEBRAS [J].