A Weak* Similarity Degree Characterization for Injective von Neumann Algebras

被引:0
|
作者
Dong, Zhe [1 ]
Zhao, Ya Fei [1 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Weak* similarity degree; injective von Neumann algebra; operator space; C-STAR-ALGEBRAS; OPERATOR-ALGEBRAS; REPRESENTATIONS;
D O I
10.1007/s10114-014-3143-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we show that a von Neumann algebra M is injective if and only if the weak* similarity degree d(*)(M) <= 2.
引用
收藏
页码:1689 / 1697
页数:9
相关论文
共 50 条
  • [21] Similarity Degrees for the Crossed Product of von Neumann Algebras
    Jin Song WU
    Wen Ming WU
    [J]. Acta Mathematica Sinica,English Series, 2014, 30 (05) : 723 - 736
  • [22] Similarity degrees for the Crossed Product of von Neumann Algebras
    Wu, Jin Song
    Wu, Wen Ming
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (05) : 723 - 736
  • [23] A CHARACTERIZATION OF (σ, τ)- DERIVATIONS ON VON NEUMANN ALGEBRAS
    Gordji, Madjid Eshaghi
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2011, 73 (01): : 111 - 116
  • [24] A characterization of atomic von Neumann algebras
    De, Debabrata
    Mukherjee, Kunal
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2022, 132 (02):
  • [25] The similarity problem for Fourier algebras and corepresentations of group von Neumann algebras
    Brannan, Michael
    Samei, Ebrahim
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (08) : 2073 - 2097
  • [26] Characterization of Tracial Functionals on Von Neumann Algebras
    Hasan Alhasan
    Khattab Fawwaz
    [J]. Lobachevskii Journal of Mathematics, 2021, 42 : 2273 - 2279
  • [27] Characterization of Lie derivations on von Neumann algebras
    Qi, Xiaofei
    Hou, Jinchuan
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (01) : 533 - 548
  • [28] CATEGORICAL CHARACTERIZATION OF COMMUTATIVE VON NEUMANN ALGEBRAS
    PELLETIER, JW
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (02): : 111 - 116
  • [29] Characterization of Tracial Functionals on Von Neumann Algebras
    Alhasan, Hasan
    Fawwaz, Khattab
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (10) : 2273 - 2279
  • [30] Equivalent characterization of *-derivations on von Neumann algebras
    Fu, Feiyan
    An, Runling
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (03): : 527 - 541