Timeline for hyperbolic amenable graph
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jan 16, 2016 at 11:05 | comment | added | YCor | ... so finally what you prove is that if $X$ is an infinite transitive hyperbolic amenable graph, then its isometry group $G$ (which is a locally compact group) is amenable and acts on the boundary with a finite orbit. How does this answer the question? | |
| Jan 16, 2016 at 8:04 | comment | added | YCor | By the way only one half (the half you use) of result attributed to Soardi and Woess is correct: while the isometry group of a transitive locally finite connected amenable group is amenable (as a locally compact group), the converse does not hold. | |
| Jan 16, 2016 at 2:02 | comment | added | YCor | Should be read: "any amenable locally compact group carries a random walk with trivial Poisson boundary", and "a closed group of isometries of a proper hyperbolic space is amenable iff it's elementary". | |
| Nov 19, 2010 at 15:23 | history | answered | R W | CC BY-SA 2.5 |