Bernoulli shifts on additive categories and algebraic K-theory of wreath products

Kranz, Julian; Nishikawa, Shintaro

doi:10.2140/agt.2026.26.321

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Bernoulli shifts on additive categories and algebraic $K$-theory of wreath products

Julian Kranz and Shintaro Nishikawa

Algebraic & Geometric Topology 26 (2026) 321–347

DOI: 10.2140/agt.2026.26.321

Abstract

We develop general methods to compute the algebraic $K$ -theory of crossed products by Bernoulli shifts on additive categories. From this we obtain a $K$ -theory formula for regular group rings associated to wreath products of finite groups by groups satisfying the Farrell–Jones conjecture.

Keywords

Bernoulli shifts, algebraic $K$-theory, Farrell–Jones conjecture, group rings, wreath products

Mathematical Subject Classification

Primary: 19A31, 19B28, 19D50

Secondary: 18E05, 18F25

References

Publication

Received: 19 April 2024

Revised: 11 December 2024

Accepted: 10 January 2025

Published: 16 January 2026

Authors

Julian Kranz
Department of Information Systems University of Münster Münster Germany

Shintaro Nishikawa
School of Mathematical Sciences University of Southampton Southampton United Kingdom

This article is currently available only to readers at paying institutions. If enough institutions subscribe to this Subscribe to Open journal for 2026, the article will become Open Access in early 2026. Otherwise, this article (and all 2026 articles) will be available only to paid subscribers.

Volume 26, issue 1 (2026)