Coarse topology, enlargeability, and essentialness
Algebraic Topology
2018-11-28 v2 Differential Geometry
Geometric Topology
K-Theory and Homology
Abstract
Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-trivially both to the rational homology of their fundamental groups and to the K-theory of the corresponding reduced C*-algebras. Our proofs do not depend on the Baum--Connes conjecture and provide independent confirmation for specific predictions derived from this conjecture.
Keywords
Cite
@article{arxiv.0707.1999,
title = {Coarse topology, enlargeability, and essentialness},
author = {B. Hanke and D. Kotschick and J. Roe and T. Schick},
journal= {arXiv preprint arXiv:0707.1999},
year = {2018}
}
Comments
21 pages, 2 figures. Revised version. To appear in Ann. Sci. Ecole Norm. Sup