The algebraic K-theory of the K(1)-local sphere via TC
classification
🧮 math.AT
math.KT
keywords
k-theoryalgebraicclasseslocalspectraspheretypecategory
read the original abstract
We describe the algebraic K-theory of the $K(1)$-local sphere and the category of type 2 finite spectra in terms of K-theory of discrete rings and topological cyclic homology. We find an infinite family of 2-torsion classes in the $K_0$ of type 2 spectra at the prime 2, and explain how to construct representatives of these $K_0$ classes.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.