Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.14806 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914266644217856 |
|---|---|
| author | Kranz, Julian Nishikawa, Shintaro |
| author_facet | Kranz, Julian Nishikawa, Shintaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14806 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bernoulli shifts on additive categories and algebraic $K$-theory of wreath products Kranz, Julian Nishikawa, Shintaro K-Theory and Homology Primary 19A31, 19B28, 19D50, Secondary 18F25, 18E05 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. |
| title | Bernoulli shifts on additive categories and algebraic $K$-theory of wreath products |
| topic | K-Theory and Homology Primary 19A31, 19B28, 19D50, Secondary 18F25, 18E05 |
| url | https://arxiv.org/abs/2401.14806 |