AbstractThe actions of certain nonamenable groups on the Lebesgue space are studied. An example is constructed of a group which has a continuum of weakly nonequivalent actions of type II1. It is also proved that, if a free group with two generators has hyperfinite action on the Lebesgue space, then at least one generator acts dissipatively. A hyperfinite action is constructed for any nonamenable group
AbstractThe actions of T-groups on von Neumann's hyperfinite algebras are studied. It is proved that...
International audienceGhys and Sergiescu proved in the 1980s that Thompson's group T, and hence F, a...
AbstractWe use group representation theory to study free actions by finite groups on spaces with non...
AbstractThe actions of certain nonamenable groups on the Lebesgue space are studied. An example is c...
44 pages. Main paper by the first three authors, appendix by the fourth authorWe introduce Property ...
AbstractWe show that every countably infinite group admits a free, continuous action on the Cantor s...
International audienceIn this article we produce an example of a non-residually finite group which a...
International audienceIn this article we produce an example of a non-residually finite group which a...
AbstractIn this paper we investigate the action of a group on a hyperbolic space where the subgroups...
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of H...
We will discuss a recent approach to non amenability based on studying Liouville actions. We give a ...
We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex toru...
We will discuss a recent approach to non amenability based on studying Liouville actions. We give a ...
We prove that for every finitely generated hyperbolic group $G$, the action of $G$ on its Gromov bou...
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of H...
AbstractThe actions of T-groups on von Neumann's hyperfinite algebras are studied. It is proved that...
International audienceGhys and Sergiescu proved in the 1980s that Thompson's group T, and hence F, a...
AbstractWe use group representation theory to study free actions by finite groups on spaces with non...
AbstractThe actions of certain nonamenable groups on the Lebesgue space are studied. An example is c...
44 pages. Main paper by the first three authors, appendix by the fourth authorWe introduce Property ...
AbstractWe show that every countably infinite group admits a free, continuous action on the Cantor s...
International audienceIn this article we produce an example of a non-residually finite group which a...
International audienceIn this article we produce an example of a non-residually finite group which a...
AbstractIn this paper we investigate the action of a group on a hyperbolic space where the subgroups...
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of H...
We will discuss a recent approach to non amenability based on studying Liouville actions. We give a ...
We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex toru...
We will discuss a recent approach to non amenability based on studying Liouville actions. We give a ...
We prove that for every finitely generated hyperbolic group $G$, the action of $G$ on its Gromov bou...
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of H...
AbstractThe actions of T-groups on von Neumann's hyperfinite algebras are studied. It is proved that...
International audienceGhys and Sergiescu proved in the 1980s that Thompson's group T, and hence F, a...
AbstractWe use group representation theory to study free actions by finite groups on spaces with non...
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