Right amenable left group sets and the Tarski-Følner theorem

Wacker, Simon

doi:10.22108/ijgt.2017.21243

Right amenable left group sets and the Tarski-Følner theorem

Document Type : Research Paper

Author

Simon Wacker

Karlsruhe Institute of Technology

10.22108/ijgt.2017.21243

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.

Keywords

20.1001.1.22517650.2017.6.3.4.9

Main Subjects

43A Abstract harmonic analysis: Abstract harmonic analysis

References

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