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What sigma-equivariance gives for free, and why the range projections cannot give the rest

Year: 2026

Type: preprint

Abstract: The modular flow of a localized Bost-Connes system determines, by sigma-equivariance alone, the point spectrum Sp_p attached to each prime and the resulting spectral invariants; this comes for free. The paper then shows the limits of the method: the range projections of the generating isometries cannot recover the remaining structure, for the same nesting reason that blocks the transfer-operator route of Paper XI.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22369683

Author: Chen, Ruqing

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7208828155

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