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# Inner $E_0$-Semigroups on Infinite Factors

Published:2006-09-01
Printed: Sep 2006
• Remus Floricel
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## Abstract

This paper is concerned with the structure of inner $E_0$-semigroups. We show that any inner $E_0$-semigroup acting on an infinite factor $M$ is completely determined by a continuous tensor product system of Hilbert spaces in $M$ and that the product system associated with an inner $E_0$-semigroup is a complete cocycle conjugacy invariant.
 Keywords: von Neumann algebras, semigroups of endomorphisms, product systems, cocycle conjugacy
 MSC Classifications: 46L40 - Automorphisms 46L55 - Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]