Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 5 (2018), 2919-2962.
Encoding equivariant commutativity via operads
We prove a conjecture of Blumberg and Hill regarding the existence of –operads associated to given sequences of families of subgroups of . For every such sequence, we construct a model structure on the category of –operads, and we use these model structures to define –operads, generalizing the notion of an –operad, and to prove the Blumberg–Hill conjecture. We then explore questions of admissibility, rectification, and preservation under left Bousfield localization for these –operads, obtaining some new results as well for –operads.
Algebr. Geom. Topol., Volume 18, Number 5 (2018), 2919-2962.
Received: 7 July 2017
Revised: 28 February 2018
Accepted: 20 March 2018
First available in Project Euclid: 30 August 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55P42: Stable homotopy theory, spectra 55P48: Loop space machines, operads [See also 18D50] 55P60: Localization and completion 55P91: Equivariant homotopy theory [See also 19L47] 55U35: Abstract and axiomatic homotopy theory
Gutiérrez, Javier J; White, David. Encoding equivariant commutativity via operads. Algebr. Geom. Topol. 18 (2018), no. 5, 2919--2962. doi:10.2140/agt.2018.18.2919. https://projecteuclid.org/euclid.agt/1535594427