English

The coarse Baum--Connes conjecture and groupoids II

Operator Algebras 2010-05-05 v1 K-Theory and Homology

Abstract

Given a (not necessarily discrete) proper metric space MM with bounded geometry, we define a groupoid G(M)G(M). We show that the coarse Baum--Connes conjecture with coefficients, which states that the assembly map with coefficients for G(M) is an isomorphism, is hereditary by taking closed subspaces.

Keywords

Cite

@article{arxiv.1005.0407,
  title  = {The coarse Baum--Connes conjecture and groupoids II},
  author = {Jean-Louis Tu},
  journal= {arXiv preprint arXiv:1005.0407},
  year   = {2010}
}

Comments

26 pages

R2 v1 2026-06-21T15:18:05.883Z