On the K-theory of regular coconnective rings

Robert Burklund ^[1] ; Ishan Levy ^[2]
1. [1] University of Copenhagen
  
  University of Copenhagen
  
  Dinamarca
2. [2] Instituto de Tecnología de Massachusetts, USA
Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 29, Nº. 2, 2023
Idioma: inglés
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Resumen
- We show that for a coconnective ring spectrum satisfying regularity and flatness assumptions, its algebraic K-theory agrees with that of its π0. We prove this as a consequence of a more general devissage result for stable infinity categories. Applications of our result include giving general conditions under which K-theory preserves pushouts, generalizations of An-invariance of K-theory, and an understanding of the K-theory of categories of unipotent local systems.