Abstract
We prove that for an odd prime p, the derived category D(KU_(p))
of the plocal complex periodic Ktheory spectrum KU_(p) is triangulated equivalent to the derived category of its homotopy ring pi_*KU_(p). This implies that if p is an odd prime, the triangulated category D(KU_(p)) is algebraic.
of the plocal complex periodic Ktheory spectrum KU_(p) is triangulated equivalent to the derived category of its homotopy ring pi_*KU_(p). This implies that if p is an odd prime, the triangulated category D(KU_(p)) is algebraic.
Original language  English 

Pages (fromto)  392435 
Number of pages  43 
Journal  Advances in Mathematics 
Volume  309 
Early online date  16 Feb 2017 
DOIs  
Publication status  Published  17 Mar 2017 
Bibliographical note
First of all I would like to thank Tyler Lawson and Stefan Schwede for their interest in the subject and for encouraging me to think about this problem. Special thanks go to Dustin Clausen for answering my questions in Galois theory and to Moritz Groth for tutorials on derivators. I would also like to thank Rasmus Bentmann, Jens Franke, John Greenlees, Snigdhayan Mahanta, George Nadareishvili and Constanze Roitzheim for useful conversations. Finally, I thank the referee for helpful comments.This research was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92) and the Shota Rustaveli National Science Foundation grant DI/27/5103/12.
Keywords
 Derivator
 Model category
 Ktheory
 Module spectrum
 Stable model category
 Triangulated category
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Irakli Patchkoria
Person: Academic