symmetric monoidal (∞,1)-category of spectra
The refinement of the concept of Brauer group from algebra to higher algebra and stable homotopy theory.
(Szymik 11, def. 3.8, prop. 5.5)
Given an E-∞ ring , the looping of the Brauer -group is the Picard ∞-group (Szymik 11, theorem 5.7).
The looping of that is the ∞-group of units (Sagave 11, theorem 1.2).
Markus Szymik, Brauer spaces for commutative rings and structured ring spectra (arXiv:1110.2956)
Andrew Baker, Birgit Richter, Markus Szymik, Brauer groups for commutative -algebras, J. Pure Appl. Algebra 216 (2012) 2361–2376 (arXiv:1005.5370)
Steffen Sagave, Spectra of units for periodic ring spectra (arXiv:1111.6731)
Created on April 1, 2014 at 10:41:28. See the history of this page for a list of all contributions to it.