Inheritance of Isomorphism Conjectures under colimits

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We 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.
30 pages This is the final version, minor changes only. It will appear in the Valladolid Conference on K-theory and Noncommutative Geometry

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K-Theory and Homology, 19K99, 18F25, 55N91

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http://salesiana.dossiersoluciones.com/handle/123456789/128609

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702460
 http://arxiv.org/abs/math/0702460

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arXiv