2013/05/19 by Romie Banerjee, Banerjee, Romie
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AT
paper · pdf · doi:10.48550/arxiv.1305.4360
openalex publication_date 2013/05/19 · arxiv created 2015/09/12 · arxiv updated 2015/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove analogs of faithfully flat descent and Galois descent for categories of modules over E∞-ring spectra using the ∞-categorical Barr-Beck theorem proved by Lurie. In particular, faithful G-Galois extensions are shown to be of effective descent for modules. Using this we study the category of ER(n)-modules, where ER(n) is the ℤ/2-fixed points under complex conjugation of a generalized Johnson-Wilson spectrum E(n). In particular, we show that ER(n)-modules is equivalent to ℤ/2-equivariant E(n)-modules as stable ∞-categories.