## Algebraic & Geometric Topology

### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 8, Number 2 (2008), 693-728.

Dates
Revised: 31 January 2008
Accepted: 12 February 2008
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796841

Digital Object Identifier
doi:10.2140/agt.2008.8.693

Mathematical Reviews number (MathSciNet)
MR2443093

Zentralblatt MATH identifier
1193.16010

#### Citation

Nicas, Andrew; Rosenthal, David. Hochschild homology relative to a family of groups. Algebr. Geom. Topol. 8 (2008), no. 2, 693--728. doi:10.2140/agt.2008.8.693. https://projecteuclid.org/euclid.agt/1513796841

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