Rational Z_p-Equivariant Spectra

TL;DR

This paper develops a simplified algebraic model for rational spectra with p-adic integer symmetry, enabling easier computations and theoretical insights in equivariant stable homotopy theory.

Contribution

It introduces a new algebraic model for rational G-equivariant spectra where G is the p-adic integers, using Quillen equivalences and an Adams sequence.

Findings

Established a simple algebraic model for rational G-equivariant spectra.

Provided a framework for easier calculations in equivariant homotopy theory.

Connected the model with classical tools like the Adams sequence.

Abstract

We find a simple algebraic model for rational G-equivariant spectra, where G is the p-adic integers, via a series of Quillen equivalences. This model, along with an Adams short exact sequence, will allow us to easily perform constructions and calculations.