Acyclic Chain complexes over the Orbit Category
Algebraic Topology
2013-02-12 v2 Representation Theory
Abstract
Chain complexes of finitely generated free modules over orbit categories provide natural algebraic models for finite G-CW complexes with prescribed isotropy. We prove a p-hypoelementary Dress induction theorem for K-theory over the orbit category of a finite group, and use it to re-interpret some results of Oliver and Kropholler-Wall on acyclic complexes.
Cite
@article{arxiv.0909.0698,
title = {Acyclic Chain complexes over the Orbit Category},
author = {Ian Hambleton and Ergun Yalcin},
journal= {arXiv preprint arXiv:0909.0698},
year = {2013}
}
Comments
16 pages (v2). Final version, to appear in Muenster J. Math