Algebraic K-theory of the two-periodic first Morava K-theory

2023/05/23 by Haldun Özgür Bayındır, Bayındır, Haldun Özgür · 1 citation
Mathematics · Physics and Astronomy · #19D55 #55P43 #55Q51 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.2305.14308

openalex publication_date 2023/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the root adjunction formalism developed in an earlier work and logarithmic THH, we obtain a simplified computation of T(2)_*K(ku) for p>3. Through this, we also produce a new algebraic K-theory computation; namely we obtain T(2)_*K(ku/p), where ku/p is the 2-periodic Morava K-theory spectrum of height 1.

Cited by

• On the Residue Sequence in Logarithmic Topological Cyclic Homology

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