Bost-Connes systems and periodic Witt vectors
Bora Yalkinoglu
TL;DR
This paper uses Borger's periodic Witt vectors to create integral refinements of arithmetic subalgebras in Bost-Connes systems, extending their applicability to general number fields.
Contribution
It introduces a novel approach to refine Bost-Connes systems using periodic Witt vectors for broader number field applications.
Findings
Constructed integral refinements of arithmetic subalgebras
Extended Bost-Connes systems to general number fields
Provided new algebraic tools for number theory
Abstract
In this note, using Borger's theory of periodic Witt vectors, we construct integral refinements of the arithmetic subalgebras associated with Bost-Connes systems for general number fields.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Analytic Number Theory Research