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• W2169171894 abstract "We study group actions on manifolds that admit hierarchies, which generalizes the idea of Haken n-manifolds introduced by Foozwell and Rubinstein. We show that these manifolds satisfy the Singer conjecture in dimensions $n le 4$. Our main application is to Coxeter groups whose Davis complexes are manifolds; we show that the natural action of these groups on the Davis complex has a hierarchy. Our second result is that the Singer conjecture is equivalent to the cocompact action dimension conjecture, which is a statement about all groups, not just fundamental groups of closed aspherical manifolds." @default.
• W2169171894 created "2016-06-24" @default.
• W2169171894 creator A5085409576 @default.
• W2169171894 creator A5089940240 @default.
• W2169171894 date "2016-11-07" @default.
• W2169171894 modified "2023-09-27" @default.
• W2169171894 title "The L2–(co)homology of groups with hierarchies" @default.
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• W2169171894 doi "https://doi.org/10.2140/agt.2016.16.2549" @default.
• W2169171894 hasPublicationYear "2016" @default.
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