A note on cocycle-conjugate endomorphisms of von Neumann algebras

Details A note on cocycle-conjugate endomorphisms of von Neumann algebras A note on cocycle-conjugate endomorphisms of von Neumann algebras

2003-06-03

arxiv.org/abs/math/0306061v1

Mathematics

Operator Algebras

Scientific paper

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

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