Right Amenable Left Group Sets and the Tarski-Følner Theorem
Simon Wacker · arXiv (Cornell University) · 2016
We introduce right amenability, right Følner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-Følner theorem for left homogeneous spaces with finite stabilisers. It states that right amenability, the existence of right Følner nets, and the non-existence of right paradoxical decompositions are equivalent.