21 citations · 97 across the 18 of their papers we have counts for
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Retraction Theorems for Group Compactifications
Yair Hartman, Aranka Hrušková, Mehrdad Kalantar +1
We characterize group compactifications of discrete groups for which there exists an equivariant retraction onto the boundary. In particular, we prove an equivariant analogue of Br…
Choquet-Deny groups and the infinite conjugacy class property
Joshua Frisch, Yair Hartman, Omer Tamuz +1
A countable discrete group is called Choquet-Deny if for every non-degenerate probability measure on it holds that all bounded -harmonic functions are constant. We s…
Thompson's group F is not strongly amenable
Yair Hartman, Kate Juschenko, Omer Tamuz +1
We show that Thompson's group has a topological action on a compact metric space that is proximal and has no fixed points.
Property (T) and the Furstenberg Entropy of Nonsingular Actions
Lewis Bowen, Yair Hartman, Omer Tamuz
We establish a new characterization of property (T) in terms of the Furstenberg entropy of nonsingular actions. Given any generating measure on a countable group , A. Nevo s…
Generic Stationary Measures and Actions
Lewis Bowen, Yair Hartman, Omer Tamuz
Let be a countably infinite group, and let be a generating probability measure on . We study the space of -stationary Borel probability measures on a topological …