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)
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