Free products in AQFT
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About this item
| Description: |
Tanimoto, Y (Università degli Studi di Roma Tor Vergata)
Tuesday 7th February 2017 - 14:00 to 15:00 |
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| Created: | 2017-02-14 12:15 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | Tanimoto, Y |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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