Algebraic $K$-theory of the two-periodic first Morava $K$-theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913270841999360 |
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| author | Bayındır, Haldun Özgür |
| author_facet | Bayındır, Haldun Özgür |
| contents | 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 $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_14308 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Algebraic $K$-theory of the two-periodic first Morava $K$-theory Bayındır, Haldun Özgür Algebraic Topology K-Theory and Homology 19D55, 55P43, 55Q51 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 $1$. |
| title | Algebraic $K$-theory of the two-periodic first Morava $K$-theory |
| topic | Algebraic Topology K-Theory and Homology 19D55, 55P43, 55Q51 |
| url | https://arxiv.org/abs/2305.14308 |