Nuclear dimension and classification of C*-algebras associated to Smale   spaces
  We show that the homoclinic C*-algebras of mixing Smale spaces are classifiable by the Elliott invariant. To obtain this result, we prove that the stable, unstable, and homoclinic C*-algebras associated to such Smale spaces have finite nuclear dimension. Our proof of finite nuclear dimension relies on Guentner, Willett, and Yu's notion of dynamic asymptotic dimension. 
Robin J. Deeley and Karen R. Strung
math.OA math.DS