The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
K-Theory and Homology
2012-08-23 v1 Group Theory
Geometric Topology
Operator Algebras
Abstract
We introduce a notion of fibred coarse embedding into Hilbert space for metric spaces, which is a generalization of Gromov's notion of coarse embedding into Hilbert space. It turns out that a large class of expander graphs admit such an embedding. We show that the maximal coarse Baum-Connes conjecture holds for metric spaces with bounded geometry which admit a fibred coarse embedding into Hilbert space.
Keywords
Cite
@article{arxiv.1208.4543,
title = {The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space},
author = {Xiaoman Chen and Qin Wang and Guoliang Yu},
journal= {arXiv preprint arXiv:1208.4543},
year = {2012}
}