Mathematics – Algebraic Topology
Scientific paper
2009-09-03
Mathematics
Algebraic Topology
16 pages (v2). Final version, to appear in Muenster J. Math
Scientific paper
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.
Hambleton Ian
Yalçin Ergün
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