On K-theoretic invariants of semigroup C*-algebras attached to number fields, Part II
Volume
291
Pagination
1 - 11
Publisher
DOI
10.1016/j.aini.2015.12.024
Journal
ADVANCES IN MATHEMATICS
ISSN
0001-8708
Metadata
Show full item recordAbstract
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.
Authors
Li, XCollections
- Mathematics [1439]