The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space Academic Article uri icon

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. 2013 Elsevier Inc.

published proceedings

  • ADVANCES IN MATHEMATICS

author list (cited authors)

  • Chen, X., Wang, Q., & Yu, G.

citation count

  • 28

complete list of authors

  • Chen, Xiaoman||Wang, Qin||Yu, Guoliang

publication date

  • January 2013