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Inner $E_0$-Semigroups on Infinite Factors |
Canad. Math. Bull. 49(2006), 371-380
Published:2006-09-01
Printed: Sep 2006
Printed: Sep 2006
- Remus Floricel
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] |