Geodesic
Free E 0-Semigroups
Canadian journal of mathematics, Tome 47 (1995) no. 4, pp. 744-785

Voir la notice de l'article provenant de la source Cambridge University Press

Given a strongly continuous semigroup of isometries ∪ acting on a Hilbert space H, we construct an E 0-semigroup α∪ , the free E 0-semigroup over ∪, acting on the algebra of all bounded linear operators on full Fock space over H. We show how the semigroup αU⊗V can be regarded as the free product of α∪ and αV. In the case where U is pure of multiplicity n, the semigroup au, called the Free flow of rank n, is shown to be completely spatial with Arveson index +∞. We conclude that each of the free flows is cocycle conjugate to the CAR/CCR flow of rank +∞.
DOI : 10.4153/CJM-1995-039-0
Mots-clés : 46L40, 81E05 
Fowler, Neal J. Free E 0-Semigroups. Canadian journal of mathematics, Tome 47 (1995) no. 4, pp. 744-785. doi: 10.4153/CJM-1995-039-0
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