The K-theoretic Farrell–Jones conjecture for hyperbolic groups

By Arthur Bartels, W. Lück, H. Reich. 2007

157 citations recorded by the source corpus.

We prove the K-theoretic Farrell–Jones conjecture for hyperbolic groups with (twisted) coefficients in any associative ring with unit.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b6d4bbb1e065f6c69067931d491d2a8e086dada9

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In Geometry and Topology

1. W. Lück
2. Arthur Bartels
3. Christian Wegner
4. H. Reich
5. Hanfeng Li
6. Michael W. Davis
7. F. Thomas Farrell
8. I. Leary

In Mathematical Physics

1. W. Lück
2. Arthur Bartels
3. Christian Wegner
4. H. Reich
5. Hanfeng Li
6. F. Thomas Farrell
7. Holger Kammeyer
8. Henrik Rueping

Citations in the corpus

• On the Farrell–Jones Conjecture and its applications (2007, methodology): “The following theorem follows from the main result of Bartels–Lück–Reich [6] together with [8, Corollary 4.3].”
• The Farrell–Jones conjecture for virtually solvable groups (2013, methodology): “4; 23, Section 4] which slightly differs from the notation used in [5] (see [2, Remark 4.”
• The Borel Conjecture for hyperbolic and CAT(0)-groups (2009, methodology): “The general strategy of the proof is similar to the one employed in [8].”