Acyclic Chain complexes over the Orbit Category
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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.