RELATIVE ENTROPY FOR ABELIAN SUBALGEBRAS

被引:2
|
作者
Okayasu, Rui [1 ]
机构
[1] Osaka Kyoiku Univ, Osaka 5828582, Japan
关键词
Von Neumann algebras; entropy; trace; subalgebras; VON-NEUMANN-ALGEBRAS;
D O I
10.1142/S0129167X10006148
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For finite dimensional abelian subalgebras of a finite von Neumann algebra, we obtain the value of conditional relative entropy defined by Choda. We also consider the modified invariant defined by Pimsner and Popa.
引用
收藏
页码:537 / 550
页数:14
相关论文
共 50 条
  • [31] Abelian subalgebras and ideals of maximal dimension in Poisson algebras
    Ouaridi, A. Fernandez
    Navarro, R. M.
    Towers, D. A.
    JOURNAL OF ALGEBRA, 2024, 660 : 680 - 704
  • [32] ABELIAN SUBALGEBRAS AND THE JORDAN STRUCTURE OF A VON NEUMANN ALGEBRA
    Doring, Andreas
    Harding, John
    HOUSTON JOURNAL OF MATHEMATICS, 2016, 42 (02): : 559 - 568
  • [33] MAXIMAL ABELIAN SUBALGEBRAS OF PSEUDOORTHOGONAL LIE-ALGEBRAS
    HUSSIN, V
    WINTERNITZ, P
    ZASSENHAUS, H
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 173 : 125 - 163
  • [34] Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras
    Ceballos, Manuel
    Towers, David A.
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (04) : 1323 - 1333
  • [35] On Lie algebras all nilpotent subalgebras of which are Abelian
    Dallmer, E
    JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (08) : 4151 - 4156
  • [36] Abelian subalgebras in some particular types of Lie algebras
    Ceballos, Manuel
    Nunez, Juan
    Tenorio, Angel F.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E401 - E408
  • [37] Algorithm to compute abelian subalgebras and ideals in Malcev algebras
    Ceballos, M.
    Nunez, J.
    Tenorio, A. F.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (16) : 4892 - 4900
  • [38] MAXIMAL ABELIAN SUBALGEBRAS OF PSEUDOUNITARY LIE-ALGEBRAS
    DELOLMO, MA
    RODRIGUEZ, MA
    WINTERNITZ, P
    ZASSENHAUS, H
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 135 : 79 - 151
  • [39] ON MAXIMAL ABELIAN SUBALGEBRAS OF C-STAR-ALGEBRAS
    ARCHBOLD, RJ
    PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1982, 38 : 409 - 411