THE HOMOLOGY OF THE GROUPOID OF THE SELF-SIMILAR INFINITE DIHEDRAL GROUP

被引：1
|
作者：
Ortega, Eduard [1 ]
Sanchez, Alvaro [2 ]
机构：
[1] NTNU, Dept Math Sci, NO-7491 Trondheim, Norway
[2] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain
来源：
MATHEMATICA SCANDINAVICA | 2022年 / 128卷 / 02期
关键词：
ETALE GROUPOIDS; FULL GROUPS;
D O I：
10.7146/math.sc.a-129708
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the K-theory of the C*-algebra associated to the self-similar infinite dihedral group, and the homology of its associated etale groupoid. We see that the rational homology differs from the K-theory, strongly contradicting a conjecture posted by Matui. Moreover, we compute the abelianization of the topological full group of the groupoid associated to the self-similar infinite dihedral group.
引用
收藏
页码：255 / 277
页数：23
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