Smashing Localizations in Equivariant Stable Homotopy

Autor:	Christian Carrick
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Algebra and Number Theory Mathematics::Category Theory FOS: Mathematics Algebraic Topology (math.AT) Geometry and Topology Mathematics - Algebraic Topology Mathematics::Algebraic Topology
Popis:	We study how smashing Bousfield localizations behave under various equivariant functors. We show that the analogs of the smash product and chromatic convergence theorems for the Real Johnson-Wilson theories $E_{\mathbb{R}}(n)$ hold only after Borel completion. We establish analogous results for the $C_{2^n}$-equivariant Johnson-Wilson theories constructed by Beaudry, Hill, Shi, and Zeng. We show that induced localizations upgrade the available norms for an $N_\infty$-algebra, and we determine which new norms appear. Finally, we explore generalizations of our results on smashing localizations in the context of a quasi-Galois extension of $E_\infty$-rings. 30 pages, new section on quasi-Galois extensions
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23604ced1d0fab5a760a39ef14a45c42 http://arxiv.org/abs/1909.08771 Zobrazit plný text záznamu