Commutative C*-subalgebras of Simple Stably Finite C*-algebras with Real Rank Zero

被引:5
作者
Ng, Ping Wong [1 ]
Winter, Wilhelm [2 ]
机构
[1] Univ Louisiana, Dept Math, Lafayette, LA 70504 USA
[2] Univ Munster, Inst Math, D-48149 Munster, Germany
关键词
nuclear C*-algebras; K-theory; classification;
D O I
10.1512/iumj.2008.57.3415
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let X be a second countable, path connected, compact metric space and let A be a unital separable simple nuclear Z-stable real rank zero C*-algebra. We classify all the unital *-embeddings (Lip to approximate unitary equivalence) of C(X) into A. Specifically, we provide an existence and a uniqueness theorem for unital *-embeddings from C(X) into A.
引用
收藏
页码:3209 / 3239
页数:31
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