We define the Hochschild homology groups of a group ring relative to a family of subgroups of . 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 is the family of finite subgroups of , as a space constructed from stratum preserving paths. An explicit calculation is made in the case is the infinite dihedral group.
"Hochschild homology relative to a family of groups." Algebr. Geom. Topol. 8 (2) 693 - 728, 2008. https://doi.org/10.2140/agt.2008.8.693