The Spectral Geometry of the Equatorial Podles Sphere
  We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operators. On the equatorial Podles sphere we construct suq2-equivariant Dirac operator and real structure which satisfy these modified properties. 
Ludwik Dabrowski, Giovanni Landi, Mario Paschke, Andrzej Sitarz