Spectra of units for periodic ring spectra

Details Spectra of units for periodic ring spectra Spectra of units for periodic ring spectra

2011-11-29

arxiv.org/abs/1111.6731v1

Mathematics

Algebraic Topology

32 pages

Scientific paper

We construct a new spectrum of units for a commutative symmetric ring spectrum that detects the difference between a periodic ring spectrum and its connective cover. It is augmented over the sphere spectrum. The homotopy cofiber of its augmentation map is a non-connected delooping of the usual spectrum of units whose bottom homotopy group detects periodicity. Our approach builds on the graded variant of E-infinity spaces introduced in joint work with Christian Schlichtkrull. In order to exhibit our spectrum of units functor as right adjoint on the level of homotopy categories, we develop a group completion and a recognition principle for group-like objects in the context of graded E-infinity spaces.

Affiliated with

Also associated with

No associations

Rating

Spectra of units for periodic ring spectra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectra of units for periodic ring spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectra of units for periodic ring spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15070