Bokstedt periodicity generator via K-theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866916790791045120 |
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| author | Fonarev, A. Kaledin, D. |
| author_facet | Fonarev, A. Kaledin, D. |
| contents | For a prime field $k$ of characteristic $p > 2$, we construct the Bökstedt periodicity generator $v \in THH_2(k)$ as an explicit class in the stabilization of $K$-theory with coefficients $K(k,-)$, and we show directly that $v$ is not nilpotent in $THH(k)$. This gives an alternative proof of the "multiplicative" part of Bökstedt periodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_03753 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Bokstedt periodicity generator via K-theory Fonarev, A. Kaledin, D. K-Theory and Homology Algebraic Geometry Algebraic Topology For a prime field $k$ of characteristic $p > 2$, we construct the Bökstedt periodicity generator $v \in THH_2(k)$ as an explicit class in the stabilization of $K$-theory with coefficients $K(k,-)$, and we show directly that $v$ is not nilpotent in $THH(k)$. This gives an alternative proof of the "multiplicative" part of Bökstedt periodicity. |
| title | Bokstedt periodicity generator via K-theory |
| topic | K-Theory and Homology Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2107.03753 |