Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 8, Number 2 (2008), 693-728.
Hochschild homology relative to a family of groups
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.
Algebr. Geom. Topol., Volume 8, Number 2 (2008), 693-728.
Received: 19 September 2007
Revised: 31 January 2008
Accepted: 12 February 2008
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 55R35: Classifying spaces of groups and $H$-spaces 19D55: $K$-theory and homology; cyclic homology and cohomology [See also 18G60]
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