On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids

Abstract

We study semigroup C*-algebras of semigroups associated with number fields and initial data arising naturally from class field theory. Using K-theoretic invariants, we investigate how much information about the initial number-theoretic data is encoded in our semigroup C*-algebras.

final version, accepted for publication in Amer. J. Math.; 24 pages

References in corpus (2)

• Nuclearity of semigroup C*-algebras and the connection to amenability
• Boundary quotients and ideals of Toeplitz C*-algebras of Artin groups

Cited by in corpus (5)

• K-theory for semigroup C*-algebras and partial crossed products
• Partition functions as C*-dynamical invariants and actions of congruence monoids
• Algebraic actions I. C*-algebras and groupoids
• Normal coactions extend to the C*-envelope
• Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras