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

Bruce, C. and Li, X. (2023) On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids. American Journal of Mathematics, 145(1), pp. 251-285. (doi: 10.1353/ajm.2023.0005)

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.

• Item Type: Articles
• Additional Information: Research of the first author supported by the Natural Sciences and Engineering Research Council of Canada through an Alexander Graham Bell CGS-D award.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bruce, Dr Chris and Li, Professor Xin
• Authors: Bruce, C., and Li, X.
• College/School: College of Science and Engineering > School of Mathematics and Statistics; College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: American Journal of Mathematics
• Publisher: John Hopkins University Press
• ISSN: 0002-9327
• ISSN (Online): 1080-6377
• Copyright Holders: Copyright © 2023 Johns Hopkins University Press
• First Published: First published in American Journal of Mathematics 145(1):251-285
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher