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arXiv · 2107.03753

Bokstedt periodicity generator via K-theory

A. Fonarev·D. Kaledin
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Abstract

For a prime field $k$ of characteristic $p > 2$, we construct the B\"okstedt 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 B\"okstedt periodicity.

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BibTeXRIS

A. Fonarev, D. Kaledin. 2021-07-08. Bokstedt periodicity generator via K-theory. https://doi.org/10.1007/s11856-023-2593-6

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