# Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras

## TL;DR

This paper extends the strong Novikov conjecture's validity to a broader class of exotic group C*-algebras, including those linked to the latest Baum-Connes conjecture, by developing a Fell absorption principle.

## Contribution

It generalizes previous results by establishing non-vanishing for many exotic group C*-algebras using a Fell absorption principle.

## Key findings

- Non-vanishing results for exotic group C*-algebras
- Fell absorption principle for exotic crossed products
- Extension of Novikov conjecture validity

## Abstract

We strengthen a result of Hanke-Schick about the strong Novikov conjecture for low degree cohomology by showing that their non-vanishing result for the maximal group C*-algebra holds for many other exotic group C*-algebras, in particular the one associated to the smallest strongly Morita compatible and exact crossed product functor used in the new version of the Baum-Connes conjecture. To achieve this we provide a Fell absorption principle for certain exotic crossed product functors.