Paper Image

A simplified summary of key contributions

Published on:

2 October 2023

Primary Category:

K-Theory and Homology

Paper Authors:

Sherry Gong,

Jianchao Wu,

Zhizhang Xie,

Guoliang Yu

Bullets

Key Details

Proves Novikov conjecture for discrete subgroups of diffeomorphism groups

Removes volume-preserving condition from previous related work

Uses operator K-theory and group actions on continuous fields of spaces

AI generated summary

A simplified summary of key contributions

This paper proves the Novikov conjecture for a class of highly nonlinear groups, namely discrete subgroups of the diffeomorphism group of a compact smooth manifold. The key advance is removing the volume-preserving condition from previous work. The proof involves studying operator K-theory and group actions on continuous fields of infinite dimensional nonpositively curved spaces.

Answers from this paper

Comments

No comments yet, be the first to start the conversation...

Sign up to comment on this paper

Sign Up