4 papers · 1 filter
Connes-embeddability and twisted group von Neumann algebras
Soham Chakraborty, Felipe Flores
We call a countable discrete group cocycle-hyperlinear if all its twisted group von Neumann algebras are Connes-embeddable. We show that the class of cocycle-hyperlinear groups inc…
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…
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…
A type III factor with the smallest outer automorphism group
Soham Chakraborty
The canonical modular homomorphism provides an embedding of into the outer automorphism group Out() of any type III factor . We provide an explicit constru…