Free products in AQFT

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• Yoh Tanimoto (Università degli Studi di Roma Tor Vergata)
• Tuesday 07 February 2017, 14:00-15:00
• Seminar Room 2, Newton Institute.

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OAS - Operator algebras: subfactors and their applications

We apply the free product construction to various local algebras in algebraic quantum field theory.

If we take the free product of infinitely many identical irreducible half-sided modular inclusions, we obtain a half-sided modular inclusion with ergodic canonical endomorphism and trivial relative commutant. On the other hand, if we take finitely many Moebius covariant nets with trace class property, we are able to construct an inclusion of free product von Neumann algebras with a large relative commutant.

(joint work with R. Longo and Y. Ueda)

This talk is part of the Isaac Newton Institute Seminar Series series.

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