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arXiv · 1503.01708

On K-theoretic invariants of semigroup C*-algebras attached to number fields, Part II

Xin Li
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Abstract

This paper continues the study of K-theoretic invariants for semigroup C*-algebras attached to ax+b-semigroups over rings of algebraic integers in number fields. We show that from the semigroup C*-algebra together with its canonical commutative subalgebra, it is possible to reconstruct the zeta function of the underlying number field as well as its ideal class group (as a group). In addition, we give an alternative interpretation of this result in terms of dynamical systems.

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BibTeXRIS

Xin Li. 2015-03-05. On K-theoretic invariants of semigroup C*-algebras attached to number fields, Part II. https://arxiv.org/abs/1503.01708

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