Geodesic
Hochschild homology relative to a family of groups
Nicas, Andrew1 ; Rosenthal, David2
1Dept. of Mathematics & Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada
2Dept. of Mathematics & Comp. Sci., St. John’s University, 8000 Utopia Pkwy, Jamaica, NY 11439, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 693-728
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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.

DOI : 10.2140/agt.2008.8.693
Keywords: Hochschild homology, family of subgroups, classifying space

Nicas, Andrew  1   ; Rosenthal, David  2

1 Dept. of Mathematics & Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada
2 Dept. of Mathematics & Comp. Sci., St. John’s University, 8000 Utopia Pkwy, Jamaica, NY 11439, USA 
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Nicas, Andrew; Rosenthal, David. Hochschild homology relative to a family of groups. Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 693-728. doi: 10.2140/agt.2008.8.693

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