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2008 Hochschild homology relative to a family of groups
Andrew Nicas, David Rosenthal
Algebr. Geom. Topol. 8(2): 693-728 (2008). DOI: 10.2140/agt.2008.8.693

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.

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Andrew Nicas. David Rosenthal. "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

Information

Received: 19 September 2007; Revised: 31 January 2008; Accepted: 12 February 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1193.16010
MathSciNet: MR2443093
Digital Object Identifier: 10.2140/agt.2008.8.693

Subjects:
Primary: 16E40, 19D55, 55R35

Rights: Copyright © 2008 Mathematical Sciences Publishers

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