A cyclic chain complexes over the orbit category
Münster Journal of Mathematics
Mathematical Institutes of the Universität Münster
145 - 162
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Chain complexes of nitely generated free modules over orbit categories provide natural algebraic models for nite 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.