Volume 8, issue 2 (2008)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Hochschild homology relative to a family of groups

Andrew Nicas and David Rosenthal

Algebraic & Geometric Topology 8 (2008) 693–728
Abstract

We define the Hochschild homology groups of a group ring G relative to a family of subgroups 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 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.

Keywords
Hochschild homology, family of subgroups, classifying space
Mathematical Subject Classification 2000
Primary: 16E40, 55R35, 19D55
References
Publication
Received: 19 September 2007
Revised: 31 January 2008
Accepted: 12 February 2008
Published: 25 May 2008
Authors
Andrew Nicas
Dept. of Mathematics & Statistics
McMaster University
Hamilton, ON L8S 4K1
Canada
David Rosenthal
Dept. of Mathematics & Comp. Sci.
St. John’s University
8000 Utopia Pkwy
Jamaica, NY 11439
USA