Bost-Connes systems and periodic Witt vectors | Synapse
October 9, 2025Open Access
Bost-Connes systems and periodic Witt vectors
Key Points
The construction reveals new integral refinements within the framework of bost-connes systems and periodic witt vectors.
Integral refinements of arithmetic subalgebras were achieved using Borger's theory of periodic witt vectors, enhancing previous understandings.
The method utilized borger's theory to establish connections among various mathematical structures related to number fields.
This approach highlights promising directions for further exploration in arithmetic geometry and 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.