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A note on cocycle-conjugate endomorphisms of von Neumann algebras

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

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Remus Floricel. 2003-06-03. A note on cocycle-conjugate endomorphisms of von Neumann algebras. https://arxiv.org/abs/math/0306061

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