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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.OA2025
On ergodicity of linear actions on and factoriality of group von Neumann algebras
Soham Chakraborty, Chinmay Tamhankar
We give some natural conditions on actions of discrete countable groups on abelian locally compact groups of Lie type that imply factoriality of the group von Neumann algebras of t…