Title: Acyclic Chain Complexes over the Orbit Category

Authors: Ian Hambleton and Erg\"un Yal\c c\i n

Address 1: 
Department of Mathematics, McMaster University,
Hamilton, Ontario L8S 4K1, Canada

Address 2: 
Department of Mathematics, Bilkent University,
06800 Bilkent, Ankara, Turkey


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, and use it to re-interpret some results of Oliver and 
Kropholler-Wall on acyclic complexes.