Abstract
For a prime field k of characteristic p > 2, we construct the Bökstedt periodicity generator v ∈ THH2(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.
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Both authors supported by the Russian Science Foundation, grant 21-11-00153.
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Fonarev, A., Kaledin, D. Bökstedt periodicity generator via K-theory. Isr. J. Math. (2023). https://doi.org/10.1007/s11856-023-2593-6
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DOI: https://doi.org/10.1007/s11856-023-2593-6