TY - JOUR
T1 - Galois descent of additive invariants
AU - Tabuada, Gonçalo Jorge Trigo Neri
PY - 2014/1/1
Y1 - 2014/1/1
N2 - Making use of the recent theory of noncommutative motives, we prove that every additive invariant satisfies Galois descent. Examples include mixed complexes, Hochschild homology, cyclic homology, periodic cyclic homology, negative cyclic homology, connective algebraic K-theory, mod-l algebraic K-theory, nonconnective algebraic K-theory, homotopy K-theory, topological Hochschild homology, and topological cyclic homology.
AB - Making use of the recent theory of noncommutative motives, we prove that every additive invariant satisfies Galois descent. Examples include mixed complexes, Hochschild homology, cyclic homology, periodic cyclic homology, negative cyclic homology, connective algebraic K-theory, mod-l algebraic K-theory, nonconnective algebraic K-theory, homotopy K-theory, topological Hochschild homology, and topological cyclic homology.
KW - additive invariants
KW - Galois descent
KW - noncommutative motives
U2 - 10.1112/blms/bdt108
DO - 10.1112/blms/bdt108
M3 - Article
SN - 0024-6093
VL - 46
SP - 385
EP - 395
JO - Bulletin Of The London Mathematical Society
JF - Bulletin Of The London Mathematical Society
IS - 2
ER -