K-theory for ring C*-algebras - the case of number fields with higher roots of unity

Abstract

We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in arbitrary number fields.

26 pages, final version, accepted for publication in the Journal of Topology and Analysis

References in corpus (3)

• The 2-adic ring $C^{\ast }$-algebra of the integers and its representations
• C*-algebras of Toeplitz type associated with algebraic number fields
• Erratum to "C*-algebras associated with integral domains and crossed products by actions on adele spaces" by J. Cuntz and X. Li

Cited by in corpus (7)

• On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup
• C*-algebras from actions of congruence monoids on rings of algebraic integers
• Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras
• On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids
• Cuntz-Li algebras from a-adic numbers
• Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras
• Topological K-theory of the group C*-algebra of a semi-direct product Z^n rtimes Z/m for a free conjugation action