The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators

Abstract

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.

34 pages. This is a revised version of arXiv:1106.3796v2