Isomorphism Conjecture for homotopy K-theory and groups acting on trees

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We discuss an analogon to the Farrell-Jones Conjecture for homotopy algebraic K-theory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy this conjecture, then G satisfies this conjecture. This result can be used to get rational injectivity results for the assembly map in the Farrell-Jones Conjecture in algebraic K-theory.
40 pages, to appear in J. Pure Applied Algebra

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K-Theory and Homology, 19D35, 19D55

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http://salesiana.dossiersoluciones.com/handle/123456789/72041

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407489
 http://arxiv.org/abs/math/0407489

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arXiv