Timeline for Is translation by the free group (in two generators) on a certain completion of the group an amenable action?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 1, 2014 at 7:04 | comment | added | Nico Stammeier | There was a small typo in the formula for the product of two projections (n -> m) which has been corrected. | |
| Jun 1, 2014 at 7:01 | history | edited | Nico Stammeier | CC BY-SA 3.0 |
Corrected typo in the formula for the product of two projections: $v^{-1}w \in \alpha^m(\mathbb{F}_2)$ instead of $v^{-1}w \in \alpha^n(\mathbb{F}_2)$
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| May 31, 2014 at 22:43 | comment | added | Nico Stammeier | @Lee Mosher: I am aware of exactness of the group being a necessary condition and that this can be expressed as amenability of the natural action on its Stone-Cech compactification. I was not aware of Kaimanovich's work. Thanks for the hint - am I right that 3.15 or 3.17 might be relevant for my situation? After a first scan it looks like it will take me a while to understand the notions involved (and I intend to spend the time). W.r.t. your request I added a realisation of $D$ on a Hilbert space to give a meaning to the projections. | |
| May 31, 2014 at 22:29 | history | edited | Nico Stammeier | CC BY-SA 3.0 |
added 626 characters in body
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| May 31, 2014 at 13:17 | comment | added | Lee Mosher | And can you define what the projection $e_{w,n}$ is? | |
| May 31, 2014 at 13:14 | comment | added | Lee Mosher | Regarding your "short comment", are you aware of amenability of the action of $F_n$ on its Cantor set of ends, or more generally of any Gromov hyperbolic group on its boundary (V. Kaimanovich, "Boundary amenability of hyperbolic spaces")? | |
| May 31, 2014 at 11:35 | history | edited | Nico Stammeier | CC BY-SA 3.0 |
added 480 characters in body
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| May 29, 2014 at 19:39 | history | asked | Nico Stammeier | CC BY-SA 3.0 |