Acyclic Chain complexes over the Orbit Category
arXiv:0909.0698
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.
16 pages (v2). Final version, to appear in Muenster J. Math