Power operations in $K$-theory completed at a prime

Abstract

We describe the action of power operations on the $p$-completed cooperation algebras $K^\vee_0 K = K_0(K)\sphat_p$ for $K$-theory at a prime~$p$, and $K^\vee_0 KO = K_0(KO)\sphat_2$.

Version 6: final update, to appear in special issue of the Tbilisi Mathematical Journal on Homotopy Theory, Spectra, and Structured Ring Spectra

References in corpus (2)

• Completed power operations for Morava E-theory
• Characteristics for $E_{\infty }$ ring spectra