Add to ORKGIn this chapter, we review the definition of the centraliser lattice \(\mathcal{LC}(G)\) of a totally disconnected locally compact (tdlc) group, and explain why it is a Boolean algebra. We then study the action of \(G\) on \(\Omega), the associated Stone space of \(\mathcal{LC}(G)\), and prove that under certain hypotheses on \(G\), the action is continuous, minimal, strongly proximal and micro-supported. Moreover, \(\Omega\) satisfies a universal property in the category of profinite \(G\)-spaces that are micro-supported
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
AbstractThere are many dimension functions defined on arbitrary topological spaces taking either a f...
19pA closed subgroup $H$ of a locally compact group $G$ is confined if the closure of the conjugacy ...
We use the structure lattice, introduced in Part I, to undertake a systematic study of the class S c...
Let be a totally disconnected, locally compact group. A closed subgroup of is locally normal if its ...
Let Γ be a finitely generated group and X be a minimal compact Γ-space. We assume that the Γ-action ...
Abstract. Let G be a topological group which is not a P-group. Then the Stone-Čech compactification...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
AbstractWe prove that if G is a locally compact group acting properly (in the sense of R. Palais) on...
If a locally compact group G acts properly on a locally compact space X, then the induced action on ...
19pA closed subgroup $H$ of a locally compact group $G$ is confined if the closure of the conjugacy ...
AbstractFor an arbitrary separable locally compact group G we exhibit a canonical Borel subset ĜΔ o...
AbstractFor a locally compact (LC) group G, denote by G+ its underlying group equipped with the topo...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
AbstractThere are many dimension functions defined on arbitrary topological spaces taking either a f...
19pA closed subgroup $H$ of a locally compact group $G$ is confined if the closure of the conjugacy ...
We use the structure lattice, introduced in Part I, to undertake a systematic study of the class S c...
Let be a totally disconnected, locally compact group. A closed subgroup of is locally normal if its ...
Let Γ be a finitely generated group and X be a minimal compact Γ-space. We assume that the Γ-action ...
Abstract. Let G be a topological group which is not a P-group. Then the Stone-Čech compactification...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
AbstractWe prove that if G is a locally compact group acting properly (in the sense of R. Palais) on...
If a locally compact group G acts properly on a locally compact space X, then the induced action on ...
19pA closed subgroup $H$ of a locally compact group $G$ is confined if the closure of the conjugacy ...
AbstractFor an arbitrary separable locally compact group G we exhibit a canonical Borel subset ĜΔ o...
AbstractFor a locally compact (LC) group G, denote by G+ its underlying group equipped with the topo...
19pInternational audienceA closed subgroup $H$ of a locally compact group $G$ is confined if the clo...
AbstractThere are many dimension functions defined on arbitrary topological spaces taking either a f...
19pA closed subgroup $H$ of a locally compact group $G$ is confined if the closure of the conjugacy ...