4 papers
Non-uniqueness of continuous trace-scaling flows on certain full factors
Soham Chakraborty, Sergiu Novac
We show that if M is a full II_infinity factor such that the fundamental group of a finite corner is R and Out(M) is a locally compact second countable group, then M admits either…
On essential freeness of actions of mixed identity-free groups
Soham Chakraborty
It was asked in [ACTT23] if every faithful, discrete, ergodic pmp action of a mixed identity-free (MIF) group is essentially free. In this short note we give some positive evidence…
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…
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…