The Novikov conjecture for algebraic K-theory of the group algebra over   the ring of Schatten class operators
  In this paper, we prove the algebraic K-theory Novikov conjecture for group algebras over the ring of Schatten class operators. The main technical tool in the proof is an explicit construction of the Connes-Chern character. 
Guoliang Yu
math.KT math.FA math.GR math.GT math.OA