Banach strong Novikov conjecture for polynomially contractible groups
K-Theory and Homology
2018-04-11 v3 Algebraic Topology
Metric Geometry
Abstract
We prove the Banach strong Novikov conjecture for groups having polynomially bounded higher-order combinatorial functions. This includes all automatic groups.
Cite
@article{arxiv.1702.02269,
title = {Banach strong Novikov conjecture for polynomially contractible groups},
author = {Alexander Engel},
journal= {arXiv preprint arXiv:1702.02269},
year = {2018}
}
Comments
v3: minor corrections, final version, to appear in Adv. Math. v2: corrected an error in the previous version (Lemma 2.9 in v1 had an erroneous proof) which led to a weakening of the main result