Tensor Products of Type III Factor Representations of Cuntz-Krieger Algebras

被引：3
|
作者：
Kawamura, Katsunori [1 ]
机构：
[1] Ritsumeikan Univ, Coll Sci & Engn, Kusatsu, Shiga 5258577, Japan
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 05期
关键词：
Tensor product of representations; Cuntz-Krieger algebra; KMS state; Type III factor representation; POLYNOMIAL ENDOMORPHISMS; BRANCHING LAWS; DIRECT SUM; SYSTEMS;
D O I：
10.1007/s10468-012-9362-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduced a non-symmetric tensor product of any two states or any two representations of Cuntz-Krieger algebras associated with a certain non-cocommutative comultiplication in our previous work. In this paper, we show that a certain set of KMS states is closed with respect to the tensor product. From this, we obtain formulae of tensor products of type III factor representations of Cuntz-Krieger algebras which are different from results of the tensor product of factors of type III.
引用
收藏
页码：1397 / 1407
页数：11
相关论文
共 50 条
  • [41] Lyapunov spectra for KMS states on Cuntz-Krieger algebras
    Kesseboehmer, Marc
    Stadlbauer, Manuel
    Stratmann, Bernd O.
    MATHEMATISCHE ZEITSCHRIFT, 2007, 256 (04) : 871 - 893
  • [42] Purely infinite Cuntz-Krieger algebras of directed graphs
    Hong, JH
    Szymanski, W
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2003, 35 : 689 - 696
  • [43] Classification of Cuntz-Krieger algebras up to stable isomorphism
    Restorff, Gunnar
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 598 : 185 - 210
  • [44] SPECTRAL TRIPLES AND FINITE SUMMABILITY ON CUNTZ-KRIEGER ALGEBRAS
    Goffeng, Magnus
    Mesland, Bram
    DOCUMENTA MATHEMATICA, 2015, 20 : 89 - 170
  • [45] Lyapunov spectra for KMS states on Cuntz-Krieger algebras
    Marc Kesseböhmer
    Manuel Stadlbauer
    Bernd O. Stratmann
    Mathematische Zeitschrift, 2007, 256 : 871 - 893
  • [46] A CUNTZ-KRIEGER UNIQUENESS THEOREM FOR SEMIGRAPH C*-ALGEBRAS
    Burgstaller, Bernhard
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (02): : 38 - 57
  • [47] Topological entropy for the canonical endomorphism of Cuntz-Krieger algebras
    Boca, FP
    Goldstein, P
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 : 345 - 352
  • [48] The classification of two-component Cuntz-Krieger algebras
    Huang, D
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (02) : 505 - 512
  • [49] Hilbert C*-bimodules and continuous Cuntz-Krieger algebras
    Kajiwara, T
    Watatani, Y
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2002, 54 (01) : 35 - 59
  • [50] Quantum edge correspondences and quantum Cuntz-Krieger algebras
    Brannan, Michael
    Hamidi, Mitch
    Ismert, Lara
    Nelson, Brent
    Wasilewski, Mateusz
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2023, 107 (03): : 886 - 913
12345