The tiling C*-algebra viewed as a tight inverse semigroup algebra

被引：15
|
作者：
Exel, Ruy [1 ]
Goncalves, Daniel [1 ]
Starling, Charles [2 ]
机构：
[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
[2] Univ Ottawa, Dept Math, Ottawa, ON K1N 6N5, Canada
来源：
SEMIGROUP FORUM | 2012年 / 84卷 / 02期
关键词：
C*-algebra; Tiling; Inverse semigroup; Tight representations;
D O I：
10.1007/s00233-011-9359-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We realize Kellendonk's C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse semigroup associated to the tiling, thus providing further evidence that the tight C*-algebra is a good candidate to be the natural associative algebra to go along with an inverse semigroup.
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页码：229 / 240
页数：12
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