On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets
Bin Gui
TL;DR
This paper explores finite index extensions of conformal nets using Connes fusion, providing a new framework for understanding their structure and properties.
Contribution
It introduces a Connes fusion approach to analyze finite index extensions of conformal nets, offering new insights and proofs for fundamental results.
Findings
Established basic results about finite index extensions
Demonstrated the effectiveness of Connes fusion in this context
Provided a new methodological framework for conformal net analysis
Abstract
In this note, we explain how to prove several basic results about finite index extensions of irreducible local M\"obius covariant nets in the setting of Connes fusion.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Elasticity and Wave Propagation