Result stated and proved in the source manuscript; website restatementfusion-reconstruction
Statement
Let be a finite von Neumann algebra inclusion with trace-preserving expectation, basic construction , and canonical trace . On , set . The face extends boundedly from to exactly in the finite-index regime described in §3. Its norm satisfies . For an inclusion of factors, .
Meaning and scope
The manuscript uses standard finite-index equivalences as imported infrastructure. The scalar Jones-index formula is stated in the factor case.
The paper page includes the reader corrections accompanying this edition.
Source
[Paper 1, Theorem 3.3](/public/papers/released/Paper I - Infinite Index Fusion.pdf#page=5). Research note — not peer reviewed.
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