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arXiv · 2305.14308

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

Haldun Özgür Bayındır
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Abstract

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

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Haldun Özgür Bayındır. 2023-05-23. Algebraic $K$-theory of the two-periodic first Morava $K$-theory. https://arxiv.org/abs/2305.14308

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