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

作者：Liu, Junping^*; Zhang, Yifan

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142(11): 3941-3952.

DOI：10.1090/S0002-9939-2014-12350-1

• Homomorphisms
• tracial rank one

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.

• 出版日期2014-11
• 单位厦门理工学院; 华东师范大学