Right Amenable Left Group Sets and the Tarski-Følner Theorem

Abstract

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.

References in corpus (1)

• Cellular Automata on Group Sets and the Uniform Curtis-Hedlund-Lyndon Theorem

Cited by in corpus (3)

• Cellular Automata on Group Sets and the Uniform Curtis-Hedlund-Lyndon Theorem
• Right Amenability And Growth Of Finitely Right Generated Left Group Sets
• The Moore and the Myhill Property For Strongly Irreducible Subshifts Of Finite Type Over Group Sets