#### Volume 13, issue 5 (2013)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Preorientations of the derived motivic multiplicative group

### Jens Hornbostel

Algebraic & Geometric Topology 13 (2013) 2667–2712
##### Abstract

We establish several new model structures and Quillen adjunctions both in the classical and in the motivic case for algebras over operads and for modules over strictly commutative ring spectra. As an application, we provide a proof in the language of model categories and symmetric spectra of Lurie’s Theorem that topological complex $K\phantom{\rule{0.3em}{0ex}}$–theory represents orientations of the derived multiplicative group. Then we generalize this result to the motivic situation.