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