APPROXIMATED BY FINITE-DIMENSIONAL HOMOMORPHISMS INTO SIMPLE C*-ALGEBRAS WITH TRACIAL RANK ONE

被引：2

作者：

Liu, Junping ^{[1
]}

Zhang, Yifan ^{[2
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Xiamen Univ Technol, Dept Appl Math, Xiamen, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Homomorphisms; tracial rank one; UNITARY EQUIVALENCE; CLASSIFICATION; THEOREM; LIMITS; ZERO;

D O I：

10.1090/S0002-9939-2014-12350-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss when a unital homomorphism phi : C(X) -> A can be approximated by finite-dimensional homomorphisms, where X is a compact metric space and A is a unital simple C*-algebra with tracial rank one. In this paper, we will give a necessary and sufficient condition.

引用

页码：3941 / 3952

页数：12

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