On the Hochschild (co)homology of Quantum Homogeneous Spaces
  The recent result of Brown and Zhang establishing Poincare duality in the Hochschild (co)homology of a large class of Hopf algebras is extended to right coideal subalgebras over which the Hopf algebra is faithfully flat, and applied to the standard Podles quantum 2-sphere. 
Ulrich Kraehmer