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

Journal of the European Mathematical Society (2012)

- Volume: 014, Issue: 4, page 1041-1079
- ISSN: 1435-9855

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topAusoni, 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 -

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