Endomorphisms of Exotic Models

Abstract

We calculate the endomorphism dga of Franke's exotic algebraic model for the K-local stable homotopy category at odd primes. We unravel its original abstract structure to give explicit generators, differentials and products. 2The authors thank the organizers of the WIT II conference, the Banff International Research Station for hosting us, and the AWM for providing travel support. The first author is grateful to the Universidad de la República -CSIC for its support and for travel funds. The second author would like to thank the University of Kent Faculty of Sciences Research Fund as well as SMSAS for travel funds, and would furthermore like to thank Andrew Baker, David Barnes and Sarah Whitehouse for interesting discussions.