Dr. Yoh Tanimoto | Free products in AQFT

Описание: Speaker: Dr Yoh Tanimoto (Università degli Studi di Roma Tor Vergata)
Date: 7th Feb 2017

Title: Free products in AQFT
Event: (OAS) Operator algebras: subfactors and their applications
Abstract: 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)

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