Algebraic $K$-theory of the first Morava $K$-theory

Ausoni, Christian, and Rognes, John. "Algebraic $K$-theory of the first Morava $K$-theory." Journal of the European Mathematical Society 014.4 (2012): 1041-1079. <http://eudml.org/doc/277594>.

@article{Ausoni2012,
abstract = {For a prime $p\ge 5$, 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.},
author = {Ausoni, Christian, Rognes, John},
journal = {Journal of the European Mathematical Society},
keywords = {algebraic $K$-theory; Morava $K$-theory; topological cyclic homology; topological Hochschild homology; Galois decent; algebraic K-theory; Morava K-theory; topological cyclic homology; topological Hochschild homology; Galois decent},
language = {eng},
number = {4},
pages = {1041-1079},
publisher = {European Mathematical Society Publishing House},
title = {Algebraic $K$-theory of the first Morava $K$-theory},
url = {http://eudml.org/doc/277594},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Ausoni, Christian
AU - Rognes, John
TI - Algebraic $K$-theory of the first Morava $K$-theory
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 4
SP - 1041
EP - 1079
AB - For a prime $p\ge 5$, 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.
LA - eng
KW - algebraic $K$-theory; Morava $K$-theory; topological cyclic homology; topological Hochschild homology; Galois decent; algebraic K-theory; Morava K-theory; topological cyclic homology; topological Hochschild homology; Galois decent
UR - http://eudml.org/doc/277594
ER -