The homology of the groupoid of the self-similar dihedral group
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3049245Utgivelsesdato
2022Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2530]
- Publikasjoner fra CRIStin - NTNU [38688]
Sammendrag
We compute the K
-theory of the C∗
-algebra associated to the self-similar infinite dihedral group, and the homology of its associated étale 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.