Persistence approximation property and controlled operator K-theory
  In this paper, we introduce and study the persistent approximation property for quantitative K-theory of filtered C*-algebras. In the case of crossed product C*-algebras, the persistent approximation property follows from the Baum-Connes conjecture with coefficients. We also discuss some applications of the quantitative K-theory to the Novikov conjecture. 
Herv\'e Oyono-Oyono (IECL), Guoliang Yu
math.OA math.MG