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

Bayındır, Haldun Özgür

doi:10.1090/tran/9178

Algebraic $K$-theory of the two-periodic first Morava $K$-theory
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by Haldun Özgür Bayındır;

Trans. Amer. Math. Soc.

DOI: https://doi.org/10.1090/tran/9178

Published electronically: May 15, 2024

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Abstract:

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

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