The "K"-theoretic Farrell-Jones conjecture for CAT(0)-groups
By Christian Wegner. 2010
73 citations recorded by the source corpus.
We prove the K-theoretic Farrell-Jones conjecture with (twisted) coefficients for CAT(0)-groups.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/915b785d3ecbda5988800011ecf755bf031a8e22
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In Geometry and Topology
- Christian Wegner
- W. Lück
- Arthur Bartels
- I. Leary
- F. Thomas Farrell
- Holger Kammeyer
- Henrik Rueping
- H. Reich
In Mathematical Physics
- Christian Wegner
- W. Lück
- Arthur Bartels
- I. Leary
- F. Thomas Farrell
- Holger Kammeyer
- Henrik Rueping
- H. Reich
Citations in the corpus
- The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups (2011, methodology): “Hence it satisfies the K- and L-theoretic Farrell Jones Conjectures with additive categories as coefficients with respect to VCyc by [6, Theorem B] and [39].”
- The Farrell–Jones conjecture for virtually solvable groups (2013, methodology): “This method using the geodesic flow was pioneered by Farrell–Jones and later extended to hyperbolic groups (see [5]) and CAT(0)-groups (see [2, 23]).”
- The Farrell–Jones conjecture for arbitrary lattices in virtually connected Lie groups (2014, background): “See for instance [2,4,6,28,32,33] for proofs (without wreath products).”
- A metric Kan–Thurston theorem (2010, background): “) The Farrell–Jones conjecture for CAT(0) groups is proved in [31] (see also [2]).”
- The Borel Conjecture for hyperbolic and CAT(0)-groups (2009, methodology): “Wegner [61] extended the methods of this paper to higher K-theory.”