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

Holger Reich
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Abstract

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.

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Holger Reich. 2003-03-07. L^2-Betti numbers, isomorphism conjectures and noncommutative localization. https://arxiv.org/abs/math/0303097

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