On the nuclear dimension of certain UCT-Kirchberg algebras
  We give a partial answer to the question for the precise value of the nuclear dimension of UCT-Kirchberg algebras raised by W. Winter and J. Zacharias. It is shown that every Kirchberg algebra in the UCT-class with torsion free $K_1$-group has nuclear dimension 1. 
Dominic Enders
math.OA