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arXiv · 2401.14806

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

Julian Kranz·Shintaro Nishikawa
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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.

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Julian Kranz, Shintaro Nishikawa. 2024-01-26. Bernoulli shifts on additive categories and algebraic $K$-theory of wreath products. https://doi.org/10.2140/agt.2026.26.321

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