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Since quite a time there were available only two rather difficult andinvolved proofs, the original one by Arveson and a more recent one byLiebscher, of the fact that for every Arveson system there exists anE_0-semigroup. We put together two recent short proofs, one by Skeide and oneby Arveson, to obtain a still simpler one, which unfies the advantages of eachproof and discards with their disadvantages.

EXISTENCE OF E0-SEMIGROUPS FOR ARVESON SYSTEMS: MAKING TWO PROOFS INTO ONE

EXISTENCE OF E₀-SEMIGROUPS FOR ARVESON SYSTEMS: MAKING TWO PROOFS INTO ONE