Volume 8, issue 2 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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
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