Hochschild homology and cohomology of Generalized Weyl algebras: the   quantum case
  We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of 'quantum' type in all but a few exceptional cases. 
Andrea Solotar, Mariano Su\'arez-Alvarez, Quimey Vivas
math.KT