We use Goerss-Hopkins theory to show that if E is a p-local Landweber exact homology theory of height n and p > n^2 + n + 1, then there exists an equivalence hSpE ≃ hD(E∗E) between homotopy categories of E-local spectra and differential E∗E-comodules, generalizing Bousfield’s and Franke’s results to heights n > 1. As an application, we prove that this implies that the Hopkins’ Picard group of the K(n)-local category coincides with its algebraic approximation.

Creator

• Pstragowski, Piotr Tadeusz

DOI

• https://doi.org/10.21985/n2-djb4-1m30

Subject

• Mathematics

Language

• en

Alternate Identifier

• http://dissertations.umi.com/northwestern:14702
• etdadmin_upload_667235

Keyword

• Chromatic homotopy theory

Date created

• 2019-01-01

Resource type

• Dissertation

Rights statement

• In Copyright