Nonamenability and Borel paradoxical decompositions for locally compact groups

Alan L. T. Paterson
1986 Proceedings of the American Mathematical Society  
We show that a locally compact group G is not amenable if and only if it admits a Borel paradoxical decomposition.
doi:10.1090/s0002-9939-1986-0813817-9 fatcat:jh6enzidjvakbf6gjrxwbzf2py