Inheritance of Isomorphism Conjectures under colimits

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dc.creatorBartels, Arthur
dc.creatorEchterhoff, Siegfried
dc.creatorLueck, Wolfgang
dc.date2007-02-15
dc.date2007-05-09
dc.date.accessioned2026-07-07T08:00:09Z
dc.date.available2026-07-07T08:00:09Z
dc.descriptionWe investigate when Isomorphism Conjectures, such as the ones due to Baum-Connes, Bost and Farrell-Jones, are stable under colimits of groups over directed sets (with not necessarily injective structure maps). We show in particular that both the K-theoretic Farrell-Jones Conjecture and the Bost Conjecture with coefficients hold for those groups for which Higson, Lafforgue and Skandalis have disproved the Baum-Connes Conjecture with coefficients.
dc.description30 pages This is the final version, minor changes only. It will appear in the Valladolid Conference on K-theory and Noncommutative Geometry
dc.identifierhttps://arxiv.org/abs/math/0702460
dc.identifierhttp://arxiv.org/abs/math/0702460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128609
dc.subjectK-Theory and Homology
dc.subject19K99, 18F25, 55N91
dc.titleInheritance of Isomorphism Conjectures under colimits
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