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

页码：255 / 277

页数：23