THE C*-ALGEBRA OF AN AFFINE MAP ON THE 3-TORUS

被引：0
|
作者：
Andersen, Kasper K. S. [1 ]
Thomsen, Klaus [2 ]
机构：
[1] Univ Copenhagen, Inst Matemat Fag, DK-2100 Copenhagen, Denmark
[2] Inst Matemat Ny Munkegade, DK-8000 Aarhus C, Denmark
来源：
DOCUMENTA MATHEMATICA | 2012年 / 17卷
关键词：
DYNAMICAL-SYSTEMS; CROSSED-PRODUCTS; STAR-ALGEBRAS; TRANSFORMATIONS; ENDOMORPHISMS; GROUPOIDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is completely determined for all strongly transitive affine maps on a torus of dimension one, two or three.
引用
收藏
页码：545 / 572
页数：28
相关论文
共 50 条
  • [1] Embedded surfaces in the 3-torus
    Edmonds, Allan L.
    FUNDAMENTA MATHEMATICAE, 2008, 199 (03) : 195 - 212
  • [2] Lattice triangulations of and of the 3-torus
    Brehm, Ulrich
    Kuehnel, Wolfgang
    ISRAEL JOURNAL OF MATHEMATICS, 2012, 189 (01) : 97 - 133
  • [3] LAGRANGIAN 3-TORUS FIBRATIONS
    Bernard, Ricardo Castano
    Matessi, Diego
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2009, 81 (03) : 483 - 573
  • [4] The maximally symmetric surfaces in the 3-torus
    Sheng Bai
    Vanessa Robins
    Chao Wang
    Shicheng Wang
    Geometriae Dedicata, 2017, 189 : 79 - 95
  • [5] Enumerating admissible graphs on a 3-torus
    tWoord, AN
    AMERICAN MATHEMATICAL MONTHLY, 1996, 103 (09): : 810 - 811
  • [6] Ergodicity and partial hyperbolicity on the 3-torus
    Hammerlindl, Andy
    Ures, Raul
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2014, 16 (04)
  • [7] FROM 3-TORUS TO FRACTAL AND THEN TO CHAOS
    ZOU, J
    HU, G
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1988, 10 (03) : 251 - 259
  • [8] On the geometry of rod packings in the 3-torus
    Hui, Connie On Yu
    Purcell, Jessica S.
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2024, 56 (04) : 1291 - 1309
  • [9] The maximally symmetric surfaces in the 3-torus
    Bai, Sheng
    Robins, Vanessa
    Wang, Chao
    Wang, Shicheng
    GEOMETRIAE DEDICATA, 2017, 189 (01) : 79 - 95
  • [10] Global analytic, Gevrey and C8 hypoellipticity on the 3-torus
    Himonas, A. Alexandrou
    Petronilho, Gerson
    Carvalho dos Santos, L. A.
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (2-3) : 265 - 282
12345