Geodesic
Relative amenability
Pierre-Emmanuel Caprace1 orcid ; Nicolas Monod2 orcid
1Université Catholique de Louvain, Belgium
2Ecole Polytechnique Fédérale de Lausanne, Switzerland
Groups, geometry, and dynamics, Tome 8 (2014) no. 3, pp. 747-774

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DOI

We introduce a relative fixed point property for subgroups of a locally compact group, which we call relative amenability. It is a priori weaker than amenability. We establish equivalent conditions, related among others to a problem studied by Reiter in 1968. We record a solution to Reiter's problem.
DOI : 10.4171/ggd/246
Classification : 00-XX
Mots-clés : Amenability, subgroups, Chabauty topology, approximate identity

Pierre-Emmanuel Caprace  1   ; Nicolas Monod  2

1 Université Catholique de Louvain, Belgium
2 Ecole Polytechnique Fédérale de Lausanne, Switzerland 
Pierre-Emmanuel Caprace; Nicolas Monod. Relative amenability. Groups, geometry, and dynamics, Tome 8 (2014) no. 3, pp. 747-774. doi: 10.4171/ggd/246
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     title = {Relative amenability},
     journal = {Groups, geometry, and dynamics},
     pages = {747--774},
     year = {2014},
     volume = {8},
     number = {3},
     doi = {10.4171/ggd/246},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/246/}
}
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