Amenable actions and exactness for discrete groups

Details Amenable actions and exactness for discrete groups Amenable actions and exactness for discrete groups

2000-02-22

arxiv.org/abs/math/0002185v2

Mathematics

Operator Algebras

Added remarks and a reference. Submitted to Comptes Rendus Acad. Sci. Paris

Scientific paper

10.1016/S0764-4442(00)00248-2

It is proved that a discrete group G is exact if and only if its left
translation action on the Stone-Cech compactification is amenable. Combining
this with an unpublished result of Gromov, we have the existence of non exact
discrete groups.

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