Bernoulli shifts on additive categories and algebraic K-theory of wreath products
Bernoulli shifts on additive categories and algebraic K-theory of wreath products
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.
321-347
Kranz, Julian
0f2968d5-30bb-4791-bc5c-9da5275459c2
Nishikawa, Shintaro
3e8c8e9a-a181-4a7b-9cc6-a70e16177703
16 January 2026
Kranz, Julian
0f2968d5-30bb-4791-bc5c-9da5275459c2
Nishikawa, Shintaro
3e8c8e9a-a181-4a7b-9cc6-a70e16177703
Kranz, Julian and Nishikawa, Shintaro
(2026)
Bernoulli shifts on additive categories and algebraic K-theory of wreath products.
Algebraic and Geometric Topology, 26 (1), .
(doi:10.48550/arXiv.2401.14806).
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.
Text
2401.14806v4
- Accepted Manuscript
Text
agt-v26-n1-p08-s
- Version of Record
More information
Accepted/In Press date: 10 January 2025
e-pub ahead of print date: 16 January 2026
Published date: 16 January 2026
Identifiers
Local EPrints ID: 510719
URI: http://eprints.soton.ac.uk/id/eprint/510719
ISSN: 1472-2747
PURE UUID: 00ced3cd-b74a-4dd0-b863-6e886073218d
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Date deposited: 20 Apr 2026 16:34
Last modified: 21 Apr 2026 02:09
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Contributors
Author:
Julian Kranz
Author:
Shintaro Nishikawa
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