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arxiv: math/0303097 · v1 · submitted 2003-03-07 · 🧮 math.AT · math.KT

L²-Betti numbers, isomorphism conjectures and noncommutative localization

classification 🧮 math.AT math.KT
keywords bettiisomorphismlocalizationnoncommutativenumbersalgebraicappearsconjecture
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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.

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