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

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• 作者：Xin Li ^{xin.li@qmul.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 46L05 ; 46L80 ; secondary ; 11R04 ; 11R29
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：19 March 2016
• 年：2016
• 卷：291
• 期：Complete
• 页码：1-11
• 全文大小：332 K

文摘

This paper continues the study of K-theoretic invariants for semigroup C*-algebras attached to ax+b$ax+b$-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.