Monoidality of Franke's Exotic Model

TL;DR

This paper investigates the monoidal structure of Franke's algebraic model for the $K_{(p)}$-local stable homotopy category at odd primes, establishing that its Picard group is isomorphic to the integers.

Contribution

It demonstrates that Franke's algebraic model possesses a monoidal structure with a Picard group isomorphic to the integers, clarifying its algebraic properties.

Findings

Picard group of the model is isomorphic to the integers

Monoidal structure on Franke's model is established

Provides insight into the algebraic structure of the $K_{(p)}$-local stable homotopy category

Abstract

We discuss the monoidal structure on Franke's algebraic model for the $K_{(p)}$-local stable homotopy category at odd primes and show that its Picard group is isomorphic to the integers.