C*-algebras of labelled graphs

被引:0
|
作者
Bates, Teresa [1 ]
Pask, David
机构
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Univ Newcastle, Sch Math & Phys Sci, Newcastle, NSW 2308, Australia
关键词
C*-algebras; labelled graph; ultragraph; shift space; Matsumoto algebra;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe a class of C*-algebras which simultaneously generalise the ultragraph algebras of Tomforde and the shift space C*-algebras of Matsumoto. In doing so we shed some new light on the different C*-algebras that may be associated to a shift space. Finally, we show how to associate a simple C*-algebra to an irreducible sofic shift.
引用
收藏
页码:207 / 226
页数:20
相关论文
共 50 条
  • [1] C*-ALGEBRAS OF LABELLED GRAPHS II - SIMPLICITY RESULTS
    Bates, Teresa
    Pask, David
    MATHEMATICA SCANDINAVICA, 2009, 104 (02) : 249 - 274
  • [2] Leavitt path algebras of labelled graphs *
    Boava, Giuliano
    de Castro, Gilles G.
    Goncalves, Daniel
    van Wyk, Daniel W.
    JOURNAL OF ALGEBRA, 2023, 629 : 265 - 306
  • [3] C*-algebras of labelled graphs III-K-theory computations
    Bates, Teresa
    Carlsen, Toke Meier
    Pask, David
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2017, 37 : 337 - 368
  • [4] NOTES ON CUNTZ-KRIEGER UNIQUENESS THEOREMS AND C*-ALGEBRAS OF LABELLED GRAPHS
    Burgstaller, Bernhard
    QUAESTIONES MATHEMATICAE, 2009, 32 (02) : 229 - 240
  • [5] On simple labelled graph C*-algebras
    Jeong, Ja A.
    Kim, Sun Ho
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) : 631 - 640
  • [6] C*-algebras of labelled spaces and their diagonal C*-subalgebras
    Boava, Giuliano
    de Castro, Gilles G.
    Mortari, Fernando de L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 456 (01) : 69 - 98
  • [7] The C*-algebras of infinite graphs
    Fowler, NJ
    Laca, M
    Raeburn, I
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (08) : 2319 - 2327
  • [8] The C*-algebras of arbitrary graphs
    Drinen, D
    Tomforde, M
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (01) : 105 - 135
  • [9] C*-algebras of separated graphs
    Ara, P.
    Goodearl, K. R.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 261 (09) : 2540 - 2568
  • [10] PRIMITIVE IDEALS OF LABELLED GRAPH C*-ALGEBRAS
    Ephrem, Menassie
    HOUSTON JOURNAL OF MATHEMATICS, 2020, 46 (02): : 377 - 387