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On the classifying space for proper actions of groups with cyclic torsion
-
Yago Antolín
and
Ramón Flores
Published/Copyright:
November 5, 2011
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 ℤn 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
Received: 2011-07-18
Revised: 2011-09-28
Published Online: 2011-11-05
Published in Print: 2014-01-01
© 2014 by Walter de Gruyter Berlin Boston
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Keywords for this article
Bredon homology;
classifying space for proper actions;
aspherical presentations;
Hempel groups;
Baum–Connes conjecture
Articles in the same Issue
- Masthead
- Pseudovarieties generated by Brauer type monoids
- On some arithmetic properties of Siegel functions (II)
- Perfect vector alignment of the vorticity and the vortex stretching is one forever
- Frobenius groups of automorphisms and their fixed points
- Schubert calculus and the Hopf algebra structures of exceptional Lie groups
- The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs
- Periodicity in the stable representation theory of crystallographic groups
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- The rational classification of links of codimension > 2
- On the classifying space for proper actions of groups with cyclic torsion
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