The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integers

TL;DR

This paper provides a comprehensive description of the primitive ideal space of the C*-algebra linked to the ring of integers in a number field, expanding understanding of its algebraic structure.

Contribution

It offers a complete characterization of the primitive ideal space for the C*-algebra of the affine semigroup of algebraic integers, building on recent work by Cuntz, Deninger, and Laca.

Findings

Complete description of the primitive ideal space

Advances understanding of algebraic structure of associated C*-algebra

Extends prior work by Cuntz, Deninger, and Laca

Abstract

We give a complete description of the primitive ideal space of the C*-algebra associated to the ring of integers R in a number field K as considered in a recent paper by Cuntz, Deninger and Laca.