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5 votes
2 answers
297 views

Seeking to understand meaning of "von Neumann spectrum" in a paper of Bader–Furman–Shaker

In attempting to understand the paper "Superrigidity, Weyl groups, and actions on the circle" of Uri Bader, Alex Furman and Ali Shaker (linked at Furman's page) I find that towards the end of the ...
Rupert's user avatar
  • 2,075
3 votes
3 answers
568 views

Free ergodic probability measure-preserving actions of the free group

Let $(X,\mathcal{B},\mu)$ be a standard Borel probability space. Let $\Gamma$ be a countable group. An action of $\Gamma$ on $X$ is: essentially free if for all $g \in \Gamma \setminus \{e \}$,...
Sebastien Palcoux's user avatar
7 votes
1 answer
811 views

Actions orbit equivalent to profinite ones

Let $G$ be a countable discrete residually finite group. Is there a way to characterise the actions of $G$ that are orbit-equivalent to profinite ones? Ozawa and Popa introduced the concept of ...
Alessandro Carderi's user avatar
5 votes
0 answers
352 views

"topological" conjugacy of group automorphisms

In the paper "Orbit Equivalence and Topological Conjugacy of Affine Actions on Compact Abelian Groups", S. Bhattacharya shows (Theorem 3) the following: Theorem. Given two actions $\alpha$ and $\...
Łukasz Grabowski's user avatar