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Localized Bost-Connes systems V: the free variant and the free critical exponent

Year: 2026

Type: preprint

Abstract: The free-probabilistic variant of the localized Bost-Connes construction is built, replacing the tensor independence of the prime coordinates by free independence. The free critical exponent is identified and compared with the classical one, and the extent to which the phase-transition picture of the foundational paper survives free independence is determined.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22346099

Author: Chen, Ruqing

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7208810900

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