Completely positive maps into corona algebras

被引：5

作者：

Kucerovsky, Dan Z. ^{[1
]}

Ng, P. W. ^{[2
]}

机构：

[1] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada

[2] Univ Louisiana Lafayette, Lafayette, LA 70504 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

C-STAR-ALGEBRAS; APPROXIMATE UNITARY EQUIVALENCE; ASTERISK-ALGEBRAS; MULTIPLIER ALGEBRAS; FREDHOLM TRIPLES; EXTENSIONS; PROPERTY; C>-ALGEBRAS; MATRICES;

D O I：

10.1017/S0305004109002539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a decomposition theorem similar to the well-known result of Voiculescu's: namely that completely positive maps A -> M(B)/B factor through a given homomorphism tau: A -> M(B)/B when the homomorphism t has a certain infiniteness property. The algebra B is only assumed to be separable and nonunital; in particular, it is not assumed to be stable. The C*-algebra A is assumed to be separable, unital and nuclear.

引用

页码：323 / 337

页数：15