TY - JOUR
AU - Ortega, Eduard
AU - Sanchez, Alvaro
PY - 2022/06/11
Y2 - 2022/11/29
TI - The homology of the groupoid of the self-similar infinite dihedral group
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 128
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-129708
UR - https://www.mscand.dk/article/view/129708
SP -
AB - <p>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.</p>
ER -