AUTOMORPHISMS OF NONSELFADJOINT DIRECTED GRAPH OPERATOR ALGEBRAS

被引:0
|
作者
Duncan, Benton L. [1 ]
机构
[1] NDSU Dept 2750, Dept Math, Fargo, ND 58108 USA
关键词
graph operator algebras; automorphisms;
D O I
10.1017/S1446788708081007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We analyze the automorphism group for the norm closed quiver algebras T+(Q) We begin by focusing Oil two normal subgroups of the automorphism group which arc characterized by their actions oil the maximal ideal space of T+(Q) To further discuss arbitrary automorphisms we factor automorphism through subalgebras for which the automorphism group can be better understood This allows us to classify a large number of noninner automorphisms We suggest a candidate for the group of inner automorphisms.
引用
收藏
页码:175 / 196
页数:22
相关论文
共 50 条
  • [1] Characterizations of automorphisms of operator algebras on Banach spaces
    Huang, Lizhong
    Chen, Lin
    Lu, Fangyan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 430 (01) : 144 - 151
  • [2] Automorphisms of AT algebras with the Rohlin property
    Kishimoto, A
    JOURNAL OF OPERATOR THEORY, 1998, 40 (02) : 277 - 294
  • [3] The automorphisms of Petit's algebras
    Brown, C.
    Pumplun, S.
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (02) : 834 - 849
  • [4] MULTIPLICATIVE AUTOMORPHISMS OF INCIDENCE ALGEBRAS
    Brusamarello, Rosali
    Fornaroli, Erica Z.
    Santulo, Ednei A., Jr.
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (02) : 726 - 736
  • [5] Automorphisms and involutions on incidence algebras
    Brusamarello, Rosali
    Lewis, David W.
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (11) : 1247 - 1267
  • [6] AUTOMORPHISMS OF STRUCTURAL MATRIX ALGEBRAS
    Akkurt, Mustafa
    Akkurt, Emira
    Barker, George P.
    OPERATORS AND MATRICES, 2013, 7 (02): : 431 - 439
  • [7] Automorphisms of elliptic Poisson algebras
    Makar-Limanov, Leonid
    Turusbekova, Umut
    Umirbaev, Ualbai
    ALGEBRAS, REPRESENTATIONS AND APPLICATIONS, 2009, 483 : 169 - +
  • [8] On automorphisms of groups, rings, and algebras
    Wilson, James B.
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (04) : 1452 - 1478
  • [9] Automorphisms of categories of free algebras of varieties
    Mashevitzky, G
    Plotkin, B
    Plotkin, E
    ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 8 : 1 - 10
  • [10] Automorphisms of quantum and clasical Poisson algebras
    Grabowski, J
    Poncin, N
    COMPOSITIO MATHEMATICA, 2004, 140 (02) : 511 - 527