A note on cocycle-conjugate endomorphisms of von Neumann algebras
Remus Floricel
Abstract
We show that two cocycle-conjugate endomorphisms of an arbitrary von Neumann algebra that satisfy certain stability conditions are conjugate endomorphisms, when restricted to some specific von Neumann subalgebras. As a consequence of this result, we obtain a new criterion for conjugacy of Powers shift endomorphisms acting on factors of type I∞.
Create a lesson
Related papers
Geometric Aspects of C*-Extreme Points II
Neha Hotwani
The Nuclear Dimension of Extensions and Graph C*-Algebras
Samuel Evington, Gregory Faurot, Christopher Schafhauser
Degree and arity of tracial separation for self-adjoint contractions
Jie Wang
Noncommutative extensions of an ergodic theorem of Breiman
Morgan O'Brien
The relative dimension set of an extremal subfactor of finite index
Julio Cáceres
The Carpenter property for subfactors of uniform infinite index
Dietmar Bisch, Julio Cáceres