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Some remarks on cancellative semigroups

โœ Scribed by Bernhard H. Neumann


Publisher
Springer-Verlag
Year
1970
Tongue
French
Weight
752 KB
Volume
117
Category
Article
ISSN
0025-5874

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Let ~//be a yon Neumann algebra with a cyclic and separating vector ~2 and let co(.) denote the corresponding vector state, i.e., co(A) = (~2,A~2)A E JP[. We have proved that a positive semigroup r on ~/ c a n induce the dynamical semigroup in the GNS representation associated with co if the state c