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arXiv 2017-09-24 0 views

An essential representation for a product system over a finitely generated subsemigroup of Zᵈ

Murugan, S. P. · Sundar, S.

Original · EN

Let S ⊂ Zᵈ be a finitely generated subsemigroup. Let E be a product system over S. We show that there exists an infinite dimensional separable Hilbert space H and a semigroup α:={αₓ}ₓ ∈ ₛ of unital normal *-endomorphisms of B(H) such that E is isomorphic to the product system associated to α.

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