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math.AT2003★ 11 cited
On the Farrell-Jones Conjecture for higher algebraic K-theory
A. Bartels, H. Reich
We prove the Farrell-Jones Isomorphism Conjecture about the algebraic K-theory of a group ring RG in the case where the group G is the fundamental group of a closed Riemannian mani…
math.AT2003
L^2-Betti numbers, isomorphism conjectures and noncommutative localization
Holger Reich
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 noncommu…
math.AT2001
On the Isomorphism Conjecture in algebraic K-theory
Arthur Bartels, Tom Farrell, Lowell Jones +1
The Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-theory of a group ring RG, where G is an infinite group. In this paper we prove the c…