Algebraic & Geometric Topology 8 (2008) 693–728

DOI: 10.2140/agt.2008.8.693

Abstract

We define the Hochschild homology groups of a group ring ZG relative to a family of subgroups F of G. These groups are the homology groups of a space which can be described as a homotopy colimit, or as a configuration space, or, in the case F is the family of finite subgroups of G, as a space constructed from stratum preserving paths. An explicit calculation is made in the case G is the infinite dihedral group.

Keywords

Hochschild homology, family of subgroups, classifying space

Mathematical Subject Classification

Primary: 16E40, 19D55, 55R35

References

Publication

Received: 19 September 2007
Revised: 31 January 2008
Accepted: 12 February 2008
Published: 25 May 2008

Authors