Picard Groups of Some Local Categories

Abstract

For each p-local spectrum E, LE denotes the full subcategory consisting of Elocal spectra of the category of p-local spectra. The Picard group Pic(LE )i s the collection of isomorphism classes of invertible spectra in LE . If this is as et, it is a group with multiplication defined by the smash product. We show that if a spectrum