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.
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页码：545 / 572
页数：28
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