Comment on: Modular Theory and Geometry
Kurusch Ebrahimi-Fard
TL;DR
This paper discusses the modular structure of U(1)-current-algebra, extending recent findings to a more general setting using the split-property to include doubly-localized algebras.
Contribution
It generalizes recent modular structure results for U(1)-current-algebra to a broader context with doubly-localized algebras.
Findings
Modular structures are valid in more general settings.
Split-property enables extension to doubly-localized algebras.
Recent results are confirmed in a broader framework.
Abstract
In this note we comment on part of a recent article by B. Schroer and H.-W. Wiesbrock. Therein they calculate some new modular structure for the U(1)-current-algebra (Weyl-algebra). We point out that their findings are true in a more general setting. The split-property allows an extension to doubly-localized algebras.
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