Derivations for a class of matrix function algebras

被引:4
作者
Duncan, Benton L. [1 ]
机构
[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA
关键词
matrix function algebras; point derivations; derivations; graph operator algebras; semicrossed product;
D O I
10.1016/j.laa.2006.09.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a class of matrix function algebras, here denoted T+(C-n). We introduce a notion of point derivations, and classify the point derivations for certain finite dimensional representations of T+ (C-n). We use point derivations and information about n x n matrices to show that every T+(C-n)-valued derivation on is inner. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:67 / 76
页数:10
相关论文
共 15 条
[11]  
Kadison R. V., 1997, Grad. Stud. Math., V16
[12]  
KRIBS DW, 2004, J RAMANUJAN MATH SOC, V19, P75
[13]  
Paulsen V., 2002, COMPLETELY BOUNDED M, V78
[15]   Noncommutative joint dilations and free product operator algebras [J].
Popescu, G .
PACIFIC JOURNAL OF MATHEMATICS, 1998, 186 (01) :111-140