Remarks on K(1)-local K-theory
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We prove two basic structural properties of the algebraic K-theory of rings after K(1)-localization at an implicit prime p. Our first result (also recently obtained by Land–Meier–Tamme by different methods) states that LK(1)K(R) is insensitive to inverting p on R; we deduce this from recent advances in prismatic cohomology and TC. Our second result yields a Künneth formula in K(1)-local K-theory for adding p-power roots of unity to R.
Originalsprog | Engelsk |
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Artikelnummer | 39 |
Tidsskrift | Selecta Mathematica |
Vol/bind | 26 |
Udgave nummer | 3 |
Antal sider | 15 |
ISSN | 1022-1824 |
DOI | |
Status | Udgivet - 2020 |
Eksternt udgivet | Ja |
ID: 259823810