TY - JOUR
AU - Jacopo Bassi
PY - 2020/09/03
Y2 - 2020/09/19
TI - On $C^*$-algebras associated to actions of discrete subgroups of $\operatorname{SL}(2,\mathbb{R})$ on the punctured plane
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 126
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-120288
UR - https://www.mscand.dk/article/view/120288
AB - Dynamical conditions that guarantee stability for discrete transformation group $C^*$-algebras are determined. The results are applied to the case of some discrete subgroups of $\operatorname{SL} (2,\mathbb{R} )$ acting on the punctured plane by means of matrix multiplication of vectors. In the case of cocompact subgroups, further properties of such crossed products are deduced from properties of the $C^*$-algebra associated to the horocycle flow on the corresponding compact homogeneous space of $\operatorname{SL} (2,\mathbb{R} )$.
ER -