通过 K 理论的博克斯特周期性发生器

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2023-12-18 DOI:10.1007/s11856-023-2593-6

Anton Fonarev, Dmitry Kaledin

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引用次数: 0

摘要

对于特性为 p > 2 的素域 k，我们在 K 理论的稳定化中以系数 K(k, -) 作为显式类构造了博克斯特德周期性生成器 v∈THH2(k) ，并直接证明了 v 在 THH(k) 中并非零势。这为博克斯特周期性的 "乘法 "部分提供了另一种证明。

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Bökstedt periodicity generator via K-theory

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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来源期刊

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.