Redshift and multiplication for truncated Brown-Peterson spectra

2020/12/01 by Jeremy Hahn, Hahn, Jeremy, Dylan Wilson +1 · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2012.00864

Abstract

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) → L_n+1^f K(BP⟨ n⟩)_(p) has bounded above fiber.

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