A finite-dimensional approach to the strong Novikov conjecture
A finite-dimensional approach to the strong Novikov conjecture
The aim of this paper is to introduce an approach to the (strong) Novikov conjecture based on continuous families of finite dimensional representations: this is partly inspired by ideas of Lusztig using the Atiyah-Singer families index theorem, and partly by Carlsson's deformation $K$--theory. Using this approach, we give new proofs …