Geodesic
The action of Thompson's group on a $\mathrm{CAT}(0)$ boundary
Daniel Farley1
1Miami University, Oxford, United States
Groups, geometry, and dynamics, Tome 2 (2008) no. 2, pp. 185-222

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DOI

For a given locally finite CAT(0)) cubical complex X with base vertex ∗, we define the profile of a given geodesic ray c issuing from ∗ to be the collection of all hyperplanes (in the sense of Sageev) crossed by c. We give necessary conditions for a collection of hyperplanes to form the profile of a geodesic ray, and conjecture that these conditions are also sufficient.
DOI : 10.4171/ggd/36
Classification : 20-XX, 00-XX
Mots-clés : Amenability, CAT(0) cubical complex, Thompson's group, diagram group, space at infinity

Daniel Farley  1

1 Miami University, Oxford, United States 
Daniel Farley. The action of Thompson's group on a $\mathrm{CAT}(0)$ boundary. Groups, geometry, and dynamics, Tome 2 (2008) no. 2, pp. 185-222. doi: 10.4171/ggd/36
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/36/}
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