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
[1]   Automorphisms of some Banach algebras of analytic functions [J].
Alaimia, MR .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 298 (1-3) :87-97
[2]  
[Anonymous], 2000, OPERATOR SPACES
[3]  
Browder A., 1967, J FUNCT ANAL, V1, P22, DOI DOI 10.1016/0022-1236(67)90024-9
[4]  
Browder A., 1969, INTRO FUNCTION ALGEB
[5]   Nest representations of directed graph algebras [J].
Davidson, Kenneth R. ;
Katsoulis, Elias .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2006, 92 :762-790
[6]   The algebraic structure of non-commutative analytic Toeplitz algebras [J].
Davidson, KR ;
Pitts, DR .
MATHEMATISCHE ANNALEN, 1998, 311 (02) :275-303
[7]   CLASSIFICATION OF SEMI-CROSSED PRODUCTS OF FINITE-DIMENSIONAL C-STAR-ALGEBRAS [J].
DEALBA, LM ;
PETERS, J .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (04) :557-564
[8]   CONTINUITY OF DERIVATIONS AND A PROBLEM OF KAPLANSKY [J].
JOHNSON, BE ;
SINCLAIR, AM .
AMERICAN JOURNAL OF MATHEMATICS, 1968, 90 (04) :1067-&
[9]  
Johnson BE., 1972, COHOMOLOGY BANACH AL
[10]  
Jury MT, 2005, J OPERAT THEOR, V53, P273