Abstract
AbstractWe 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 $$E_{\mathbb {R}}(n)$$
E
R
(
n
)
hold only after Borel completion. We establish analogous results for the $$C_{2^n}$$
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 $$N_\infty $$
N
∞
-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 $$E_\infty $$
E
∞
-rings.
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
Reference39 articles.
1. Balmer, P., Dell’Ambroglio, I., Sanders, B.: Restriction to finite index subgroups as étale extensions in topology, KK-theory and geometry. Algebr. Geom. Topol. (2014)
2. Balmer, P., Favi, G.: Generalized Rickard idempotents and the telescope conjecture. Proc. Lond. Math. Soc. 102(6), 1161–1185 (2011)
3. Balmer, P., Sanders, B.: The spectrum of the equivariant stable homotopy category of a finite group. Invent. Math. 208(1), 283–326 (2017)
4. Barthel, T., Hausmann, M., Naumann, N., Nikolaus, T., Noel, J., Stapleton, N.: The Balmer spectrum of the equivariant homotopy category of a finite abelian group. Invent. Math. 208(1), 283–326 (2017)
5. Bauer, T.: Bousfield localization and the Hasse square (2011). http://math.mit.edu/conferences/talbot/2007/tmfproc/Chapter09/bauer.pdf
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献