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 language | English |
---|---|
Pages (from-to) | 341-350 |
Number of pages | 10 |
Journal | Homology, Homotopy and Applications |
Volume | 21 |
Issue number | 1 |
DOIs | |
State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2018, International Press.
Keywords
- Frobenius
- Hecke operator
- Morava E-theory
ASJC Scopus subject areas
- Mathematics (miscellaneous)