English

Galois descent of additive invariants

Algebraic Geometry 2013-10-16 v2 Algebraic Topology K-Theory and Homology

Abstract

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.

Keywords

Cite

@article{arxiv.1301.1928,
  title  = {Galois descent of additive invariants},
  author = {Goncalo Tabuada},
  journal= {arXiv preprint arXiv:1301.1928},
  year   = {2013}
}

Comments

10 pages; revised version