3 papers
math.FA2025
Kesten's criterion for discrete probability measure-preserving groupoids
Soham Chakraborty, Milan Donvil, Felipe Flores +1
Inspired by Kesten's criterion for the amenability of groups, we establish a characterization of the amenability of discrete probability measure-preserving groupoids in terms of th…
math.FA2024
The Choquet-Deny Property for Groupoids
Tey Berendschot, Soham Chakraborty, Milan Donvil +2
A countable discrete group is called Choquet-Deny if for any non-degenerate probability measure on the group, the corresponding space of bounded harmonic functions is trivial. Buil…
math.OA2024
Factoriality of groupoid von Neumann algebras
Tey Berendschot, Soham Chakraborty, Milan Donvil +1
We give a characterisation of factoriality of the groupoid von Neumann algebra associated to a discrete measured groupoid . We introduce the notio…