Toggle Main Menu Toggle Search

Open Access padlockePrints

The Newcastle University research output collection, currently available on ePrints, will shortly be moving to a new open repository platform, Figshare. To prepare for the data migration we have paused adding new content to ePrints, and will resume once the new repository is launched. During this time you will continue to have access to ePrints (but no new content will appear). We will share updates here when available.

Groupoid homology and K-theory for algebraic actions from number theory

Lookup NU author(s): Dr Chris BruceORCiD

Downloads

Licence

This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

We compute the groupoid homology for the ample groupoids associated with algebraic actions from rings of algebraic integers and integral dynamics. We derive results for the homology of the topological full groups associated with rings of algebraic integers, and we use our groupoid homology calculation to compute the K-theory for ring C*-algebras of rings of algebraic integers, recovering the results of Cuntz and Li and of Li and Lück without using Cuntz–Li duality. Moreover, we compute the K-theory for C*-algebras attached to integral dynamics, resolving the conjecture by Barlak, Omland, and Stammeier in full generality.

Publication metadata

Author(s): Bruce C, Kubota Y, Takeishi T

Publication type: Article

Publication status: Published

Journal: Journal of Functional Analysis

Year: 2026

Volume: 291

Issue: 9

Print publication date: 17/06/2026

Online publication date: 12/06/2026

Acceptance date: 02/06/2026

Date deposited: 21/07/2026

ISSN (print): 0022-1236

ISSN (electronic): 1096-0783

Publisher: Elsevier Inc.

URL: https://doi.org/10.1016/j.jfa.2026.111607

DOI: 10.1016/j.jfa.2026.111607

Data Access Statement: No data was used for the research described in the article

Altmetrics

Altmetrics provided by Altmetric

Share