A cyclic chain complexes over the orbit category

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Author
Hambleton, I.
Yalçın, E.
Date
2010
Source Title
Münster Journal of Mathematics
Print ISSN
1867-5778
Electronic ISSN
1867-5786
Publisher
Mathematical Institutes of the Universität Münster
Volume
3
Pages
145 - 162
Language
English
Type
Article
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Abstract
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.
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http://hdl.handle.net/11693/48328
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