Algebraic K -theory of the first Morava K -theory

作者：Ausoni Christian^*; Rognes John

来源：Journal of the European Mathematical Society, 2012, 14(4): 1041-1079.

DOI：10.4171/JEMS/326

• Algebraic K -theory
• Morava K -theory
• topological cyclic homology
• topological Hochschild homology

For a prime p %26gt;= 5, we compute the algebraic K -theory modulo p and v(1) of the mod p Adams summand, using topological cyclic homology. On the way, we evaluate its modulo p and v(1) topological Hochschild homology. Using a localization sequence, we also compute the K -theory modulo p and v(1) of the first Morava K -theory.

• 出版日期2012