2016/03/15 by Nathaniel Stapleton, Stapleton, Nathaniel · 1 citation
Mathematics · #55N20 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55N20
paper · pdf · doi:10.48550/arxiv.1603.04811
arxiv created 2016/03/15 · arxiv updated 2016/03/16
We prove that the pth Hecke operator on the Morava E-cohomology of a space is congruent to the Frobenius mod p. This is a generalization of the fact that the pth Adams operation on the complex K-theory of a space is congruent to the Frobenius mod p. The proof implies that the pth Hecke operator may be used to test Rezk's congruence criterion.