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arXiv · 0909.0698

Acyclic Chain complexes over the Orbit Category

Ian Hambleton·Ergun Yalcin
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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.

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Ian Hambleton, Ergun Yalcin. 2010-11-17. Acyclic Chain complexes over the Orbit Category. https://arxiv.org/abs/0909.0698

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