affine actions 1ergodic pmp actions 1essentially free actions 1generalized Bernoulli actions 1mixed identity-free groups 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
On essential freeness of actions of mixed identity-free groups
Soham Chakraborty
The paper proves that for mixed identity‑free (MIF) groups, both faithful generalized Bernoulli actions and affine actions on compact abelian groups are essentially free, offering…
math.OA2025
Measured inverse semigroups and their actions on von Neumann algebras and equivalence relations
Soham Chakraborty
It is known to experts that certain regular inclusions of von Neumann algebras arise as crossed products with cocycle actions of the canonical quotient groupoids associated with th…
math.GR2025
Measured groupoids beyond equivalence relations and group actions
Soham Chakraborty
We construct the first examples of genuine ergodic discrete measured groupoids that are not isomorphic to any equivalence relation or transformation groupoid. We use a construction…