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Existence of E0--Semigroups for Arveson Systems: Making Two Proofs into One

Michael Skeide

math.OAarXiv:math/0605480

Abstract

Since quite a time there were available only two rather difficult and involved proofs, the original one by Arveson and a more recent one by Liebscher, of the fact that for every Arveson system there exists an E0-semigroup. We put together two recent short proofs, one by Skeide and one by Arveson, to obtain a still simpler one, which unfies the advantages of each proof and discards with their disadvantages.

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