Geodesic
Uniqueness of means in the Cohen model
Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 1, pp. 49-60.

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We investigate the question of whether or not an amenable subgroup of the permutation group on $\mathbb{N}$ can have a unique invariant mean on its action. We extend the work of M. Foreman (1994) and show that in the Cohen model such an amenable group with a unique invariant mean must fail to have slow growth rate and a certain weakened solvability condition.
DOI : 10.14712/1213-7243.2015.274
Classification : 03E05, 03E35, 03E65
Keywords: construction scheme; Knaster hierarchy; Cohen reals 
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Kalajdzievski, Damjan; Steprāns, Juris. Uniqueness of means in the Cohen model. Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 1, pp. 49-60. doi : 10.14712/1213-7243.2015.274. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.274/

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