Strong relative Novikov conjecture for coarsely embeddable groups

TL;DR

This paper proves a strong relative Novikov conjecture for pairs of groups that can be coarsely embedded into Hilbert space, advancing understanding in geometric group theory and topology.

Contribution

It establishes the conjecture for a broad class of groups, specifically those coarsely embeddable into Hilbert space, which was previously unresolved.

Findings

Proves the strong relative Novikov conjecture for coarsely embeddable groups

Extends the class of groups for which the conjecture holds

Provides new insights into the topology of group C*-algebras

Abstract

In this article, we prove a strong relative Novikov conjecture for any pair of groups that are coarsely embeddable into Hilbert space.