English

A note on cocycle-conjugate endomorphisms of von Neumann algebras

Operator Algebras 2007-05-23 v1

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\sb.\rm{I}\sb{\infty}.

Keywords

Cite

@article{arxiv.math/0306061,
  title  = {A note on cocycle-conjugate endomorphisms of von Neumann algebras},
  author = {Remus Floricel},
  journal= {arXiv preprint arXiv:math/0306061},
  year   = {2007}
}