Hochschild homology relative to a family of groups

Nicas, Andrew; Rosenthal, David

doi:10.2140/agt.2008.8.693

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Hochschild homology relative to a family of groups

Andrew Nicas and David Rosenthal

Algebraic & Geometric Topology 8 (2008) 693–728

DOI: 10.2140/agt.2008.8.693

Abstract

We define the Hochschild homology groups of a group ring $ℤ G$ 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.

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

Volume 8, issue 2 (2008)