On the Non-Existence of J-Homomorphisms of Higher Height

Abstract

We show that for a large class of connective spectra, the mapping space into the units of the $p$-complete sphere spectrum is insensitive to $L_1$-localization followed by taking connective cover.

14 pages, comments are welcome!

References in corpus (3)

• Purity in chromatically localized algebraic $K$-theory
• Chromatic Cyclotomic Extensions
• The Adams spectral sequence for the image-of-$J$ spectrum