Purity in chromatically localized algebraic $K$-theory

Markus Land, Akhil Mathew, Lennart Meier +1

We prove a purity property in telescopically localized algebraic $K$-theory of ring spectra: For $n\ge 1$, the $T(n)$-localization of $K(R)$ only depends on the $T(0)\oplus \dots…