HOCHSCHILD HOMOLOGY RELATIVE TO A FAMILY OF GROUPS

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