Circle actions on function field Bost-Connes systems: the compact group advantage is illusory, and the Weil zeta function is thermodynamic
Year: 2026
Type: preprint
Abstract: The circle action coming from the degree grading on a function field Bost-Connes system is analyzed: the apparent advantage of a compact acting group is shown to be illusory for classification purposes, while the Weil zeta function of the underlying curve is exhibited as a thermodynamic quantity of the system. The algebra is stably finite, with a faithful scaling functional built from the gauge expectation, and the results are verified in full on an explicit curve, including point counts and Jacobian orders.
Author: Chen, Ruqing
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208820574
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