L^2-Betti numbers, isomorphism conjectures and noncommutative localization

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In this paper we discuss how the question about the rationality of L^2-Betti numbers is related to the Isomorphism Conjecture in algebraic K-theory and why in this context noncommutative localization appears as an important tool.
28 pages

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Algebraic Topology, K-Theory and Homology, 46L80; 19A31; 47L60

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http://salesiana.dossiersoluciones.com/handle/123456789/66730

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303097
 http://arxiv.org/abs/math/0303097

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arXiv