Inner E 0-Semigroups on Infinite Factors
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 371-380
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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.
Mots-clés :
46L40, 46L55, von Neumann algebras, semigroups of endomorphisms, product systems, cocycle conjugacy
Floricel, Remus. Inner E 0-Semigroups on Infinite Factors. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 371-380. doi: 10.4153/CMB-2006-037-2
@article{10_4153_CMB_2006_037_2,
author = {Floricel, Remus},
title = {Inner {E} {0-Semigroups} on {Infinite} {Factors}},
journal = {Canadian mathematical bulletin},
pages = {371--380},
year = {2006},
volume = {49},
number = {3},
doi = {10.4153/CMB-2006-037-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-037-2/}
}
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