Redshift and multiplication for truncated Brown-Peterson spectra

• 成果类型: Article
• 署名作者: Hahn, Jeremy; Wilson, Dylan
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2022.196.3.6
• 发表日期: 2022
• 页码: 1277-1351
• 关键词: topological hochschild homology; algebraic k-theory; MOTIVIC COHOMOLOGY; segal conjecture; vanishing lines; homotopy-theory; ring spectra; complex; localization; NILPOTENCY

摘要

We equip BP(n) with an E3-BP-algebra structure for each prime p and height n. The algebraic K-theory of this ring is of chromatic height exactly n + 1, and the map K(BP(n))(p)-+ Lfn+1K(BP(n))(p) has bounded above fiber.