RELATIVELY AMENABLE ACTIONS OF THOMPSON’S GROUPS

@article{Scarparo2021RELATIVELYAA,
  title={RELATIVELY AMENABLE ACTIONS OF THOMPSON’S GROUPS},
  author={Eduardo Scarparo},
  journal={Bulletin of the Australian Mathematical Society},
  year={2021}
}
  • Eduardo Scarparo
  • Published 2 September 2021
  • Mathematics
  • Bulletin of the Australian Mathematical Society
We investigate the notion of relatively amenable topological action and show that the action of Thompson’s group T on $S^1$ is relatively amenable with respect to Thompson’s group F. We use this to conclude that F is exact if and only if T is exact. Moreover, we prove that the groupoid of germs of the action of T on $S^1$ is Borel amenable. 

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