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Inner E 0-Semigroups on Infinite Factors

Published online by Cambridge University Press:  20 November 2018

Remus Floricel
Remus Floricel*
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, U.S.A. e-mail: floricel@math.berkeley.edu
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Abstract

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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

46L4046L55von Neumann algebrassemigroups of endomorphismsproduct systemscocycle conjugacy

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 3 , 01 September 2006, pp. 371 - 380
Copyright
Copyright © Canadian Mathematical Society 2006

References

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