A Canonical Lift Of Frobenius In Morava E-Theory

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Abstract

We prove that the pth Hecke operator on the Morava Ecohomology 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.

Original languageEnglish
Pages (from-to)341-350
Number of pages10
JournalHomology, Homotopy and Applications
Volume21
Issue number1
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2018, International Press.

Keywords

  • Frobenius
  • Hecke operator
  • Morava E-theory

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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