On the existence of $E_0$-semigroups

dc.creatorArveson, William
dc.date2006-05-08
dc.date.accessioned2026-07-07T07:14:03Z
dc.date.available2026-07-07T07:14:03Z
dc.descriptionProduct systems are the classifying structures for semigroups of endomorphisms of B(H), in that two $E_0$-semigroups are cocycle conjugate iff their product systems are isomorphic. Thus it is important to know that every abstract product system is associated with an $E_0$-semigrouop. This was first proved more than fifteen years ago by rather indirect methods. Recently, Skeide has given a more direct proof. In this note we give yet another proof by an elementary construction.
dc.identifierhttps://arxiv.org/abs/math/0605215
dc.identifierhttp://arxiv.org/abs/math/0605215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112712
dc.subjectOperator Algebras
dc.subject46L55, 46L09
dc.titleOn the existence of $E_0$-semigroups
dc.typetext

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