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

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

2003-03-07

arxiv.org/abs/math/0303097v1

Mathematics

Algebraic Topology

28 pages

Scientific paper

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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