Algebraic -theory of the first Morava -theory

  • John Rognes

    University of Oslo, Norway
  • Christian Ausoni

    Universität Münster, Germany


For a prime , we compute the algebraic -theory modulo and of the mod Adams summand, using topological cyclic homology. On the way, we evaluate its modulo and topological Hochschild homology. Using a localization sequence, we also compute the -theory modulo and of the first Morava -theory.

Cite this article

John Rognes, Christian Ausoni, Algebraic -theory of the first Morava -theory. J. Eur. Math. Soc. 14 (2012), no. 4, pp. 1041–1079

DOI 10.4171/JEMS/326