Proper isometric actions of Thompson's groups on Hilbert space
By Daniel S. Farley. 2003
52 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7156970857dd54473fc25c778d7aa08167b75ba2
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
In Geometry and Topology
- H. Reich
- W. Lück
- D. Fisher
- Rufus Willett
- Arthur Bartels
- Christian Wegner
- Hanfeng Li
- Michael W. Davis
In Mathematical Physics
- W. Lück
- H. Reich
- Arthur Bartels
- D. Fisher
- Rufus Willett
- Christian Wegner
- Hanfeng Li
- Michael W. Davis
Citations in the corpus
- Groups acting on manifolds: around the Zimmer program (2008, background): “The proofs that F does not have (T ) do not apply to these groups [57].”
- Actions of Picture Groups on CAT(0) Cubical Complexes (2005, unknown): “It can be shown that the cocycle derived here differs from the one in [8] by only a minus sign; in fact, the calculation of this section was the source for [8].”
- Some notes on Property A (2006, background): “g property A when equipped with any bounded geometry, left-invariant metric. [DGLY] discusses some aspects of coarse embeddability, and a constructs a non-coarsely embeddable, separable metric space. [Far03] proves that Thompson’s groups are a-T-menable. It is a major unsolved problem to decide whet”
- The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, background): “Thompson’s group F true with coefficients [94] ? injectivity is true after inverting 2 (see Propositions 74 and 95)”
- Combinatorial algebra : syntax and semantics (2014, unknown): “More information about diagram groups can be found in Farley [101, 102] and Guba and Sapir [138, 139].”