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Questions about the branch of algebra that deals with groups.

3 votes
1 answer
142 views

Topological amenability of actions - forgetting topology

Let $G$ be a (countable) discrete group and let $X$ be a locally compact Hausdorff space. Assume that $G$ acts on $X$ by homeomorphisms. Recall that the action is (topologically) amenable if there ex …
Alcides Buss's user avatar
7 votes

Topological amenability of actions - forgetting topology

After posting the question, I discussed with Siegfried Echterhoff, and more or less at the same time Nicolas Monod sent me an email, both giving me the following argument: for an action of a group $G$ …
Alcides Buss's user avatar
5 votes

Characterization of amenable actions

We have resolved this question recently in Proposition 3.16 of https://arxiv.org/pdf/2003.03469.pdf We prove, among other things, that an action of an exact locally compact group G on a von Neumann al …
Alcides Buss's user avatar