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

VL - 46

SP - 385

EP - 395

JO - Bulletin Of The London Mathematical Society

JF - Bulletin Of The London Mathematical Society

SN - 0024-6093

IS - 2

ER -