On the classifying space for proper actions of groups with cyclic torsion Articles uri icon

authors

  • ANTOLIN, YAGO
  • FLORES DIAZ, RAMON JESUS

publication date

  • January 2014

start page

  • 271

end page

  • 294

issue

  • 1

volume

  • 26

international standard serial number (ISSN)

  • 0933-7741

electronic international standard serial number (EISSN)

  • 1435-5337

abstract

  • In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with aspherical presentation, one-relator quotients of products of locally indicable groups, extensions of Z(n) by cyclic groups, and fuchsian groups. We take advantage of the torsion structure of these groups to use appropriate models of the universal space for proper actions which allow us, in turn, to extend some technology defined by Mislin in the case of one-relator groups.

keywords

  • bredon homology; classifying space for proper actions; aspherical presentations; hempel groups; baum–connes conjecture