theorem · fr-1-theorem-5-4

Subgroup index dichotomy

Result stated and proved in the source manuscript; website restatement fusion-reconstruction

Statement

Let be a subgroup of a countable discrete group. Under the fusion identification with , the face is summation along . Every fiber is in bijection with . If , then . If , the finitely supported face is maximally nonclosable.

Meaning and scope

Here group index supplies exactly the infinite orthonormal family required by Theorem 4.5. The result concerns the multiplication face on the fusion carrier.

The paper page includes the reader corrections accompanying this edition.

Source

[Paper 1, Theorem 5.4](/public/papers/released/Paper I - Infinite Index Fusion.pdf#page=6). Research note — not peer reviewed.

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