Add to ORKGA criterion for existence of a fixed point for an affine action of a given group on a compact convex space is presented. From this we derive that a discrete countable group is amenable if and only if there exists an invariant probability measure for any action of the group on a Hilbert cube. Amenable properties of the group of all isometries of the Urysohn universal homogeneous metric space are also discussed
ABSTRACT. We show that topological amenability of an action of a countable discrete group on a compa...
We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...
Abstract. Consider the following property of a topological group G: every continuous affine G-action...
Abstract. We first show that co-amenability does not pass to subgroups, answering a question asked b...
International audienceWe prove that the action of a countable discrete group on a locally compact in...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring in...
We survey the recent developments concerning fixed point properties for group actions on Banach spac...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geo-metric property...
AbstractIt is proved in this paper that assuming the continuum hypothesis, there exists an amenable ...
AbstractWe show that for any abelian topological group G and arbitrary diffused submeasure μ, every ...
Abstract. We show that for any abelian topological group G and arbitrary diffused submeasure µ, ever...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
ABSTRACT. A sufficient condition is given for a countable discrete group G to contain a free subgrou...
ABSTRACT. We show that topological amenability of an action of a countable discrete group on a compa...
We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...
Abstract. Consider the following property of a topological group G: every continuous affine G-action...
Abstract. We first show that co-amenability does not pass to subgroups, answering a question asked b...
International audienceWe prove that the action of a countable discrete group on a locally compact in...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring in...
We survey the recent developments concerning fixed point properties for group actions on Banach spac...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geo-metric property...
AbstractIt is proved in this paper that assuming the continuum hypothesis, there exists an amenable ...
AbstractWe show that for any abelian topological group G and arbitrary diffused submeasure μ, every ...
Abstract. We show that for any abelian topological group G and arbitrary diffused submeasure µ, ever...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
ABSTRACT. A sufficient condition is given for a countable discrete group G to contain a free subgrou...
ABSTRACT. We show that topological amenability of an action of a countable discrete group on a compa...
We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...