Class field towers and minimal models

TL;DR

This paper proves that all real class field towers are finite by employing the concept of Etesi $C^*$-algebras, advancing understanding in algebraic number theory.

Contribution

Introduces the use of Etesi $C^*$-algebras to establish finiteness of real class field towers, providing a novel approach in the field.

Findings

Real class field towers are always finite.

Etesi $C^*$-algebras are effective tools in number theory.

New method may influence future research in algebraic number theory.

Abstract

We use the notion of an Etesi $C^*$-algebra to prove that the real class field towers are always finite.