L²-Betti numbers, isomorphism conjectures and noncommutative localization

2003/03/07 by Holger Reich, Reich, Holger
Mathematics · #19A31 #46L80 #47L60 #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:19A31 #msc:46L80 #msc:47L60

paper · pdf · doi:10.48550/arxiv.math/0303097

28 pages

arxiv created 2003/03/07 · arxiv updated 2009/11/30

Abstract

In this paper we discuss how the question about the rationality of L²-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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