On C∗-algebras associated to actions of discrete subgroups of SL(2,R) on the punctured plane

• Jacopo Bassi ^[1]
  1. [1] University of Rome Tor Vergata

     University of Rome Tor Vergata

     Roma Capitale, Italia

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 540-558
• Idioma: inglés
• DOI: 10.7146/math.scand.a-120288
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• Resumen

  • 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 SL(2,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 SL(2,R).