Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One

Details Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One

2006-05-17

arxiv.org/abs/math/0605480v1

Mathematics

Operator Algebras

Scientific paper

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 E_0-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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