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- Title
ON K-THEORETIC INVARIANTS OF SEMIGROUP C<sup>∗</sup>-ALGEBRAS FROM ACTIONS OF CONGRUENCE MONOIDS.
- Authors
BRUCE, CHRIS; XIN LI
- Abstract
We study semigroup C∗-algebras of semigroups associated with number fields and initial data arising naturally from class field theory. These semigroup C∗-algebras turn out to have an interesting C∗-algebraic structure, giving access to many new examples of classifiable C∗-algebras and exhibiting phenomena which have not appeared before. Moreover, using K-theoretic invariants, we investigate how much information about the initial number-theoretic data is encoded in our semigroup C∗-algebras.
- Subjects
MONOIDS; ENCODING; ALGEBRAIC field theory; C*-algebras
- Publication
American Journal of Mathematics, 2023, Vol 145, Issue 1, p251
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.2023.0005